656725 has 12 divisors (see below), whose sum is σ = 825220. Its totient is φ = 518400.

The previous prime is 656707. The next prime is 656737. The reversal of 656725 is 527656.

It can be written as a sum of positive squares in 6 ways, for example, as 5476 + 651249 = 74^2 + 807^2 .

It is not a de Polignac number, because 656725 - 2⁷ = 656597 is a prime.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (12600) is a multiple of the sum of its prime factors (360).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2605 + ... + 2845.

2⁶⁵⁶⁷²⁵ is an apocalyptic number.

It is an amenable number.

656725 is a deficient number, since it is larger than the sum of its proper divisors (168495).

656725 is a wasteful number, since it uses less digits than its factorization.

656725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 355 counting only the distinct ones).

The product of its digits is 12600, while the sum is 31.

The square root of 656725 is about 810.3857106341. The cubic root of 656725 is about 86.9216275755.

The spelling of 656725 in words is "six hundred fifty-six thousand, seven hundred twenty-five".