egghead vs intellectual

egghead and intellectual both are nouns.

Word	Noun	Adjective	Verb	Adverb
egghead	Yes	No	No	No
intellectual	Yes	Yes	No	No

As nouns, intellectual is a hypernym of egghead; that is, intellectual is a word with a broader meaning than egghead:

Other hypernyms of egghead include intellect.

egghead (noun)	intellectual (noun)
an intellectual; a very studious and academic person	a person who uses the mind creatively

egghead (adjective)	intellectual (adjective)
	appealing to or using the intellect
	involving intelligence rather than emotions or instinct
	of or associated with or requiring the use of the mind