396314316225 has 27 divisors (see below), whose sum is σ = 709859889193. Its totient is φ = 211362599040.

The previous prime is 396314316191. The next prime is 396314316227. The reversal of 396314316225 is 522613413693.

The square root of 396314316225 is 629535.

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

396314316225 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 14 + 3 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23223016881 + 373091299344 = 152391^2 + 610812^2 .

It is not a de Polignac number, because 396314316225 - 2²⁷ = 396180098497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (396314316227) 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 26 ways as a sum of consecutive naturals, for example, 9422041 + ... + 9464009.

Almost surely, 2^396314316225 is an apocalyptic number.

396314316225 is the 629535-th square number.

396314316225 is the 314768-th centered octagonal number.

It is an amenable number.

396314316225 is a deficient number, since it is larger than the sum of its proper divisors (313545572968).

396314316225 is an frugal number, since it uses more digits than its factorization.

396314316225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83954 (or 41977 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 396314316225 in words is "three hundred ninety-six billion, three hundred fourteen million, three hundred sixteen thousand, two hundred twenty-five".