397005625 has 15 divisors (see below), whose sum is σ = 496721467. Its totient is φ = 317206000.

The previous prime is 397005611. The next prime is 397005667. The reversal of 397005625 is 526500793.

The square root of 397005625 is 19925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 310217769 + 86787856 = 17613^2 + 9316^2 .

It is not a de Polignac number, because 397005625 - 2⁹ = 397005113 is a prime.

It is a super-2 number, since 2×397005625² = 315226932563281250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 497727 + ... + 498523.

Almost surely, 2^397005625 is an apocalyptic number.

397005625 is the 19925-th square number.

397005625 is the 9963-rd centered octagonal number.

It is an amenable number.

397005625 is a deficient number, since it is larger than the sum of its proper divisors (99715842).

397005625 is an frugal number, since it uses more digits than its factorization.

397005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The cubic root of 397005625 is about 734.9631307959.

The spelling of 397005625 in words is "three hundred ninety-seven million, five thousand, six hundred twenty-five".