688957 has 2 divisors, whose sum is σ = 688958. Its totient is φ = 688956.

The previous prime is 688951. The next prime is 688969. The reversal of 688957 is 759886.

It is a happy number.

688957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 549081 + 139876 = 741^2 + 374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344478 + 344479.

It is an arithmetic number, because the mean of its divisors is an integer number (344479).

2⁶⁸⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

688957 is a deficient number, since it is larger than the sum of its proper divisors (1).

688957 is an equidigital number, since it uses as much as digits as its factorization.

688957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 43.

The square root of 688957 is about 830.0343366392. The cubic root of 688957 is about 88.3210124819.

It can be divided in two parts, 68 and 8957, that added together give a square (9025 = 95²).

The spelling of 688957 in words is "six hundred eighty-eight thousand, nine hundred fifty-seven".