508707 has 16 divisors (see below), whose sum is σ = 766080. Its totient is φ = 333576.

The previous prime is 508693. The next prime is 508709. The reversal of 508707 is 707805.

508707 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 508707 - 2⁶ = 508643 is a prime.

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

508707 is strictly pandigital in base 7.

508707 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 508707.

It is not an unprimeable number, because it can be changed into a prime (508709) 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, 2128 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁵⁰⁸⁷⁰⁷ is an apocalyptic number.

508707 is a deficient number, since it is larger than the sum of its proper divisors (257373).

508707 is a wasteful number, since it uses less digits than its factorization.

508707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 508707 is about 713.2369872630. The cubic root of 508707 is about 79.8281205661.

The spelling of 508707 in words is "five hundred eight thousand, seven hundred seven".