Izumi (泉) is the Japanese word for "spring of water, fountain." Izumi Shikibu (c. 976-?) was the Heian-period waka poet famous for her passionate love poetry — included in the imperial poetry anthologies. Her affairs with two imperial princes were the scandal of the Heian court, and her Izumi Shikibu Diary is a masterpiece of intimate court literature.
Used widely in modern Japan.
Izumi 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 Izumi reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.