656972 has 24 divisors (see below), whose sum is σ = 1238496. Its totient is φ = 304128.

The previous prime is 656959. The next prime is 656977. The reversal of 656972 is 279656.

It is a super-2 number, since 2×656972² = 863224417568, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (656977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3308 + ... + 3500.

It is an arithmetic number, because the mean of its divisors is an integer number (51604).

2⁶⁵⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

656972 is a deficient number, since it is larger than the sum of its proper divisors (581524).

656972 is a wasteful number, since it uses less digits than its factorization.

656972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 656972 is about 810.5380928741. The cubic root of 656972 is about 86.9325235370.

The spelling of 656972 in words is "six hundred fifty-six thousand, nine hundred seventy-two".