397927564225 has 27 divisors (see below), whose sum is σ = 500068323657. Its totient is φ = 314115590880.

The previous prime is 397927564207. The next prime is 397927564253. The reversal of 397927564225 is 522465729793.

It is a happy number.

The square root of 397927564225 is 630815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 79407294849 + 318520269376 = 281793^2 + 564376^2 .

It is not a de Polignac number, because 397927564225 - 2²⁷ = 397793346497 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, 249171127 + ... + 249172723.

Almost surely, 2^397927564225 is an apocalyptic number.

397927564225 is the 630815-th square number.

397927564225 is the 315408-th centered octagonal number.

It is an amenable number.

397927564225 is a deficient number, since it is larger than the sum of its proper divisors (102140759432).

397927564225 is an frugal number, since it uses more digits than its factorization.

397927564225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 1681 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 61.

The spelling of 397927564225 in words is "three hundred ninety-seven billion, nine hundred twenty-seven million, five hundred sixty-four thousand, two hundred twenty-five".