687957 has 8 divisors (see below), whose sum is σ = 938784. Its totient is φ = 447888.

The previous prime is 687949. The next prime is 687961. The reversal of 687957 is 759786.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 687957 - 2³ = 687949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2538 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (117348).

2⁶⁸⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

687957 is a deficient number, since it is larger than the sum of its proper divisors (250827).

687957 is a wasteful number, since it uses less digits than its factorization.

687957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379.

The product of its digits is 105840, while the sum is 42.

The square root of 687957 is about 829.4317331764. The cubic root of 687957 is about 88.2782600418.

The spelling of 687957 in words is "six hundred eighty-seven thousand, nine hundred fifty-seven".