656825 has 24 divisors (see below), whose sum is σ = 916608. Its totient is φ = 463680.

The previous prime is 656819. The next prime is 656833. The reversal of 656825 is 528656.

It is a happy number.

It is not a de Polignac number, because 656825 - 2⁴ = 656809 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 656791 and 656800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 656825.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13952 + ... + 13998.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

2⁶⁵⁶⁸²⁵ is an apocalyptic number.

656825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

656825 is a deficient number, since it is larger than the sum of its proper divisors (259783).

656825 is a wasteful number, since it uses less digits than its factorization.

656825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 656825 is about 810.4474073004. The cubic root of 656825 is about 86.9260392251.

The spelling of 656825 in words is "six hundred fifty-six thousand, eight hundred twenty-five".