The New Catholic Bible provides an insightful commentary on Psalm 96:

All peoples are invited to acknowledge him (God) as the sovereign Master; all are summoned to the liturgy, to adoration. Deep emotion will grip the entire universe when God comes as Judge; he who has brought into being an unshakable world will establish all human beings in justice and righteousness.
This song of universal joy is always new with the newness of God himself; the New Testament (see Acts 17:31; Rev 19:11) refers to verse 13 in announcing the final coming of Christ on the day of judgment, when he will make all things new. Thus, by means of it, Christians call upon the whole universe to praise God the Father as well as the risen Jesus, whom the Father has made “Lord and Christ” (Acts 2:36), “leader and Savior” (Acts 5:31), and “ruler of the kings of the earth” (Rev 1:5).
Verse 3 reads “Declare his glory among the nations, his wondrous deeds to every people.”
| Hebrew | English | Value of Hebrew Word |
| סַפְּר֣וּ sap-pə-rū | Declare | 346 |
בַגּוֹיִ֣ם ḇag-gō-w-yim | among the nations | 61 |
| כְּבוֹד֑וֹ kə-ḇō-w-ḏōw; | His glory | 38 |
בְּכָל־ הָֽ֝עַמִּ֗ים hā-‘am-mîm, bə-ḵāl | among all peoples | 217 |
| נִפְלְאוֹתָֽיו׃ nip̄-lə-’ō-w-ṯāw. | His wonders | 583 |
| 1245 |
There are 203 primes less than or equal to 1245; that is, the Prime Pi estimated at 1245 is 203. The Euler Totient of 203 is 168. That is, there are 168 positive integers (less than 230) that are coprime with 203. But 168 is the identifier of the Lord’s Prayer in the Gospel of Luke.
Conclusion. The Lord’s Prayer is a means to declare our heavenly Father’s glory among the nations and His wondrous deeds to every people.
Discussions
Psalm 96:3, with its exhortation to “Declare his glory among the nations, his marvelous deeds among all peoples,” and the Lord’s Prayer are both profound calls to recognize and proclaim the sovereignty and providence of God.
The Psalm urges believers to share the glory of God and His wondrous deeds with every nation, emphasizing the universality of God’s dominion and the inclusivity of His love. It’s a call to evangelize, to spread the good news of God’s greatness and His mighty works to every corner of the earth.
This call to proclaim God’s glory to all nations harmonizes with the petition in the Lord’s Prayer that says, “Your kingdom come, your will be done, on earth as it is in heaven.” This line from the Lord’s Prayer is a plea for God’s sovereign rule to be established across the world, reflecting the same universal scope as the Psalm’s call for God’s glory to be known among all nations.
Furthermore, the Lord’s Prayer begins with “Our Father,” implying a collective relationship with God that transcends national or ethnic boundaries, embracing all of humanity. This universality is mirrored in Psalm 96:3’s emphasis on reaching “all peoples,” suggesting that the message of God’s glory and His deeds is for every human being, irrespective of their background.
Both texts also share a common theme of worship and acknowledgment of God’s mighty works as a basis for praise. The proclamation of God’s deeds in the Psalm can be seen as a form of prayer and worship, akin to the prayerful reverence shown in the Lord’s Prayer.
In essence, both Psalm 96:3 and the Lord’s Prayer encourage believers to live out their faith in a way that glorifies God not just in private devotion, but also through active declaration and demonstration of His love and majesty to others. They are linked by a mission that is both worshipful and evangelical, aimed at bringing the reality of God’s kingdom to people everywhere.