out vs discover

out is a noun but discover is not a noun.

Word	Noun	Adjective	Verb	Adverb
out	Yes	Yes	Yes	Yes
discover	No	No	Yes	No

As verbs, discover is a hypernym of out; that is, discover is a word with a broader meaning than out:

out: reveal (something) about somebody's identity or lifestyle
discover: make known to the public information that was previously known only to a few people or that was meant to be kept a secret

Other hypernyms of out include break, bring out, disclose, divulge, expose, give away, let on, let out, reveal, uncover, unwrap.

As verbs, discover is a hypernym of out; that is, discover is a word with a broader meaning than out:

out: to state openly and publicly one's homosexuality
discover: make known to the public information that was previously known only to a few people or that was meant to be kept a secret

Other hypernyms of out include break, bring out, disclose, divulge, expose, give away, let on, let out, reveal, uncover, unwrap.

out (noun)	discover (noun)
(baseball) a failure by a batter or runner to reach a base safely in baseball

out (adjective)	discover (adjective)
not allowed to continue to bat or run
being out or having grown cold
outside or external
excluded from use or mention
not worth considering as a possibility
outer or outlying
directed outward or serving to direct something outward
knocked unconscious by a heavy blow
no longer fashionable
out of power; especially having been unsuccessful in an election

out (verb)	discover (verb)
be made known; be disclosed or revealed	get to know or become aware of, usually accidentally
reveal (something) about somebody's identity or lifestyle	identify as in botany or biology, for example
to state openly and publicly one's homosexuality	make known to the public information that was previously known only to a few people or that was meant to be kept a secret
	make a discovery, make a new finding
	see for the first time; make a discovery
	discover or determine the existence, presence, or fact of by perception with the eyes
	find unexpectedly

out (adverb)	discover (adverb)
away from home
from one's possession
moving or appearing to move away from a place, especially one that is enclosed or hidden