Kaori (香) is the Japanese word for "fragrance" or "aroma." Often written 香織 (fragrant weaving).
Kaori is widely used in Japan.
Kaori does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Kaori reduce to 9, The Giver. This is a traditional interpretive system, not a factual claim about the name.