656657 has 2 divisors, whose sum is σ = 656658. Its totient is φ = 656656.

The previous prime is 656651. The next prime is 656671. The reversal of 656657 is 756656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 625681 + 30976 = 791^2 + 176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-656657 is a prime.

It is not a weakly prime, because it can be changed into another prime (656651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328328 + 328329.

It is an arithmetic number, because the mean of its divisors is an integer number (328329).

2⁶⁵⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

656657 is a deficient number, since it is larger than the sum of its proper divisors (1).

656657 is an equidigital number, since it uses as much as digits as its factorization.

656657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37800, while the sum is 35.

The square root of 656657 is about 810.3437542179. The cubic root of 656657 is about 86.9186273980.

Subtracting 656657 from its reverse (756656), we obtain a palindrome (99999).

The spelling of 656657 in words is "six hundred fifty-six thousand, six hundred fifty-seven".