309312225 has 18 divisors (see below), whose sum is σ = 554012966. Its totient is φ = 164966400.

The previous prime is 309312221. The next prime is 309312233. The reversal of 309312225 is 522213903.

It can be written as a sum of positive squares in 3 ways, for example, as 1520289 + 307791936 = 1233^2 + 17544^2 .

It is not a de Polignac number, because 309312225 - 2² = 309312221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (309312221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 687136 + ... + 687585.

Almost surely, 2^309312225 is an apocalyptic number.

It is an amenable number.

309312225 is a deficient number, since it is larger than the sum of its proper divisors (244700741).

309312225 is a wasteful number, since it uses less digits than its factorization.

309312225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374737 (or 1374729 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 309312225 is about 17587.2745188105. The cubic root of 309312225 is about 676.2890593275.

The spelling of 309312225 in words is "three hundred nine million, three hundred twelve thousand, two hundred twenty-five".