other vs former

other is not a noun while former is a noun.

Word	Noun	Adjective	Verb	Adverb
other	No	Yes	No	No
former	Yes	Yes	No	No

As adjectives, other and former are synonyms defined as:

Other synonyms of other include early.

other (noun)	former (noun)
	the first of two or the first mentioned of two

other (adjective)	former (adjective)
not the same one or ones already mentioned or implied; quantifier, other	referring to the first of two things or persons mentioned (or the earlier one or ones of several)
recently past	belonging to the distant past
very unusual; different in character or quality from the normal or expected	belonging to some prior time
belonging to the distant past	(used especially of persons) of the immediate past