augur vs prophet

augur and prophet both are nouns.

Word	Noun	Adjective	Verb	Adverb
augur	Yes	No	Yes	No
prophet	Yes	No	No	No

As nouns, prophet is a hypernym of augur; that is, prophet is a word with a broader meaning than augur:

augur: (ancient Rome) a religious official who interpreted omens to guide public policy
prophet: an authoritative person who divines the future

Other hypernyms of augur include oracle, prophesier, seer, vaticinator.

augur (noun)	prophet (noun)
(ancient Rome) a religious official who interpreted omens to guide public policy	an authoritative person who divines the future
	someone who speaks by divine inspiration; someone who is an interpreter of the will of God

augur (verb)	prophet (verb)
indicate, as with a sign or an omen
predict from an omen