Catechism of the Catholic Church
a and c. Para. 430: Jesus means in Hebrew: "God saves." At the annunciation, the angel Gabriel gave him the name Jesus as his proper name, which expresses both his identity and his mission (Cf. Lk 1:31). Since God alone can forgive sins, it is God who, in Jesus his eternal Son made man, "will save his people from their sins" (Mt. 1:21; cf. 2:7).
Para. 432: The name "Jesus" signifies that the very name of God is present in the person of his Son, made man for the universal and definitive redemption from sins.