Azzurra is from the Italian azzurro (sky blue, azure) — feminine form. Azzurra Carnelos — Italian Olympic figure (rowing). Princess Azzurra — modern Italian royal heritage naming. Hotel Azzurra — multiple major Italian boutique hotels.
Azzurra 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 Azzurra reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.