682657 has 2 divisors, whose sum is σ = 682658. Its totient is φ = 682656.

The previous prime is 682637. The next prime is 682673. The reversal of 682657 is 756286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 474721 + 207936 = 689^2 + 456^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-682657 is a prime.

It is not a weakly prime, because it can be changed into another prime (682607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 341328 + 341329.

It is an arithmetic number, because the mean of its divisors is an integer number (341329).

2⁶⁸²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

682657 is a deficient number, since it is larger than the sum of its proper divisors (1).

682657 is an equidigital number, since it uses as much as digits as its factorization.

682657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 682657 is about 826.2305973516. The cubic root of 682657 is about 88.0509776947.

The spelling of 682657 in words is "six hundred eighty-two thousand, six hundred fifty-seven".