501687 has 16 divisors (see below), whose sum is σ = 787680. Its totient is φ = 314496.

The previous prime is 501659. The next prime is 501691. The reversal of 501687 is 786105.

It is not a de Polignac number, because 501687 - 2⁶ = 501623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 501687.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 501687.

It is not an unprimeable number, because it can be changed into a prime (501617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (49230).

2⁵⁰¹⁶⁸⁷ is an apocalyptic number.

501687 is a deficient number, since it is larger than the sum of its proper divisors (285993).

501687 is a wasteful number, since it uses less digits than its factorization.

501687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 501687 is about 708.2986658183. The cubic root of 501687 is about 79.4592172455.

501687 divided by its sum of digits (27) gives a palindrome (18581).

The spelling of 501687 in words is "five hundred one thousand, six hundred eighty-seven".