Iria is a Galician form of Irene, meaning peace — and the name of an old holy site in Galicia. It carries calm and heritage.
Iria 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.
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In Pythagorean numerology the letters of Iria reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.