687967 has 8 divisors (see below), whose sum is σ = 813600. Its totient is φ = 569184.

The previous prime is 687961. The next prime is 687977. The reversal of 687967 is 769786.

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

It is not a de Polignac number, because 687967 - 2⁷ = 687839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1492 + ... + 1897.

It is an arithmetic number, because the mean of its divisors is an integer number (101700).

2⁶⁸⁷⁹⁶⁷ is an apocalyptic number.

687967 is a deficient number, since it is larger than the sum of its proper divisors (125633).

687967 is a wasteful number, since it uses less digits than its factorization.

687967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425.

The product of its digits is 127008, while the sum is 43.

The square root of 687967 is about 829.4377613782. The cubic root of 687967 is about 88.2786877712.

The spelling of 687967 in words is "six hundred eighty-seven thousand, nine hundred sixty-seven".