687937 has 4 divisors (see below), whose sum is σ = 694720. Its totient is φ = 681156.

The previous prime is 687931. The next prime is 687949. The reversal of 687937 is 739786.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 739786 = 2 ⋅369893.

It is a cyclic number.

It is not a de Polignac number, because 687937 - 2⁷ = 687809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 687937.

It is not an unprimeable number, because it can be changed into a prime (687931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3237 + ... + 3442.

It is an arithmetic number, because the mean of its divisors is an integer number (173680).

2⁶⁸⁷⁹³⁷ is an apocalyptic number.

It is an amenable number.

687937 is a deficient number, since it is larger than the sum of its proper divisors (6783).

687937 is a wasteful number, since it uses less digits than its factorization.

687937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782.

The product of its digits is 63504, while the sum is 40.

The square root of 687937 is about 829.4196766414. The cubic root of 687937 is about 88.2774045705.

The spelling of 687937 in words is "six hundred eighty-seven thousand, nine hundred thirty-seven".