392358168225 has 27 divisors (see below), whose sum is σ = 702773903923. Its totient is φ = 209252678640.

The previous prime is 392358168133. The next prime is 392358168247. The reversal of 392358168225 is 522861853293.

It is a happy number.

The square root of 392358168225 is 626385.

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

392358168225 is a `hidden beast` number, since 3 + 9 + 2 + 358 + 1 + 68 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141248940561 + 251109227664 = 375831^2 + 501108^2 .

It is a de Polignac number, because none of the positive numbers 2^k-392358168225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9374896 + ... + 9416654.

Almost surely, 2^392358168225 is an apocalyptic number.

392358168225 is the 626385-th square number.

392358168225 is the 313193-rd centered octagonal number.

It is an amenable number.

392358168225 is a deficient number, since it is larger than the sum of its proper divisors (310415735698).

392358168225 is an frugal number, since it uses more digits than its factorization.

392358168225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83534 (or 41767 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 392358168225 in words is "three hundred ninety-two billion, three hundred fifty-eight million, one hundred sixty-eight thousand, two hundred twenty-five".