209236225 has 27 divisors (see below), whose sum is σ = 286272259. Its totient is φ = 151593200.

The previous prime is 209236207. The next prime is 209236229. The reversal of 209236225 is 522632902.

It is a happy number.

The square root of 209236225 is 14465.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75325041 + 133911184 = 8679^2 + 11572^2 .

It is not a de Polignac number, because 209236225 - 2⁵ = 209236193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209236229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 795444 + ... + 795706.

Almost surely, 2^209236225 is an apocalyptic number.

209236225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

209236225 is the 14465-th square number.

209236225 is the 7233-rd centered octagonal number.

It is an amenable number.

209236225 is a deficient number, since it is larger than the sum of its proper divisors (77036034).

209236225 is an equidigital number, since it uses as much as digits as its factorization.

209236225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The cubic root of 209236225 is about 593.6707136974.

The spelling of 209236225 in words is "two hundred nine million, two hundred thirty-six thousand, two hundred twenty-five".