deodorant n.

active word-forming element in English and in many verbs inherited from French and Latin, from Latin de "down, down from, from, off; concerning" (see de), also used as a prefix in Latin, usually meaning "down, off, away, from among, down from," but also "down to the bottom, totally" hence "completely" (intensive or completive), which is its sense in many English words.

As a Latin prefix it also had the function of undoing or reversing a verb's action, and hence it came to be used as a pure privative — "not, do the opposite of, undo" — which is its primary function as a living prefix in English, as in defrost (1895), defuse (1943), de-escalate (1964), etc. In some cases, a reduced form of dis-.

c. 1300, "sweet smell, scent, fragrance," from Anglo-French odour, from Old French odor "smell, perfume, fragrance" (12c., Modern French odeur) and directly from Latin odor "a smell, a scent" (pleasant or disagreeable), from PIE root *hed- "to smell" (source also of Latin olere "emit a smell, to smell of," with Sabine -l- for -d-; Greek ozein "to smell," odmē "odor, scent;" Armenian hotim "I smell;" Lithuanian uodžiu, uosti "to smell, sniff;" Old Czech jadati "to investigate, explore").

Neutral sense of "smell as an inherent property of matter; scent or fragrance whether pleasant or not" is from late 14c. "[W]hen used without a qualifying adjunct, the word usually denotes an agreeable smell" [Century Dictionary, 1895]. Good or bad odor, in reference to repute or esteem, is from 1835. Odor of sanctity (1756) is from French odeur de sainteté (17c.) "sweet or balsamic scent said to be exhaled by the bodies of eminent saints at death or upon disinterment." In Middle English odor also had a figurative sense of "spiritual fragrance of Christ's sacrifice."