sheathe vs wrap

sheathe is not a noun while wrap is a noun.

Word	Noun	Adjective	Verb	Adverb
sheathe	No	No	Yes	No
wrap	Yes	No	Yes	No

As verbs, wrap is a hypernym of sheathe; that is, wrap is a word with a broader meaning than sheathe:

Other hypernyms of sheathe include enclose, enfold, envelop, enwrap.

sheathe (noun)	wrap (noun)
	cloak that is folded or wrapped around a person
	the covering (usually paper or cellophane) in which something is wrapped
	a sandwich in which the filling is rolled up in a soft tortilla

sheathe (verb)	wrap (verb)
enclose with a sheath	arrange or fold as a cover or protection
cover with a protective sheathing	enclose or enfold completely with or as if with a covering
plunge or bury (a knife or sword) in flesh	arrange or coil around
	crash into so as to coil around