Gracious
Aivan is a modern phonetic variant of Ivan, which is the Slavic form of the Hebrew name Yochanan (John). It signifies the belief that God has been gracious or merciful. While rare in the United States, it follows the trend of adapting traditional names with contemporary vowel spellings.
Less common today
Aivan isn't in the latest US Top 1000. It last peaked at #6,982 in 2014.
US births per 5-year period, 1990βpresent (SSA data).