Beor. St. Peter (ii. 11, 15) reads Bosor.

A soothsayer, or magician, (ariolum) as this word always indicates, Josue xiii. 22. The Hebrews believe he was once a true prophet, a descendant of Buz, the son of Melcha, and the same as Eliu, the friend of Job. (St. Jerome, q. 3. Hebrew in Genesis) He certainly foretold the Messias, or star of Jacob, by divine inspiration, chap. xxiv. 17. (Haydock)

He consults and acknowledges the true God, ver. 8, 18, 20. Origen (hom. 13,) believes that he left a book of his prophecies, which was known to the wise men, and discovered to them the birth of the Messias; and some Rabbins think that Moses has here inserted from that work what relates to Balaam. St. Augustine (q. 48,) shews that he was a wicked man, of whom nevertheless God made use to convey important instructions; and that he is one of those reprobates who will say, Lord, have we not prophesied in thy name? He is placed with Cain and Core, St. Jude 11. St. Ambrose (ep. 50,) observes, that he might prophesy, like Caiphas, without knowing what he said, and that the gift of prophecy on this occasion, was no proof of his virtue. Many of the Fathers look upon him as a mere magician, who could utter no blessing, but only curses, by the rules of his infernal art. He did not design to consult God, but the Lord puts answers into his mouth. (Theodoret, q. 39, 42.) The method of consultation seemed to border on superstition. He wished to make God change his resolutions, as if he were an idol, and attempted to evade the impressions of his spirit. (Calmet)

The river, Euphrates, which waters the country of the Ammonites. (Menochius)

Hebrew, “to Pethora, which is by the land of the children of his people.” St. Jerome has translated Pethora “soothsayer,” and has left Ammon undeclined. (Haydock)

The Chaldean informs us, that he was a resident at Petor, a city of Syria, on the Euphrates. It is probably the same town with the Pacora of Ptolemy, near Thapsacus. Balaam is styled an Aramean; (chap. xxiii. 17,) and we know that he came from Mesopotamia. Hebrew Aram Naharaim, (Deuteronomy xxiii. 4.; Calmet) or “Syria, between the two rivers,” the Euphrates and Tigris. (Salien)

Me, ready to fall upon my dominions. It appears hence, that Balaam was in high estimation, since a distant king depends more upon his power, than upon the efforts of all his own armies, and those of his auxiliaries, and is willing to pay him for cursing his enemies at so dear a rate. Perhaps he thought that they employed magical arts to conquer their enemies, by prayer. See Exodus xvii. 11.; Origen, hom. 13. (Haydock)