507933 has 6 divisors (see below), whose sum is σ = 733694. Its totient is φ = 338616.

The previous prime is 507919. The next prime is 507937. The reversal of 507933 is 339705.

It can be written as a sum of positive squares in only one way, i.e., 492804 + 15129 = 702^2 + 123^2 .

It is not a de Polignac number, because 507933 - 2⁴ = 507917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 507897 and 507906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28210 + ... + 28227.

2⁵⁰⁷⁹³³ is an apocalyptic number.

It is an amenable number.

507933 is a deficient number, since it is larger than the sum of its proper divisors (225761).

507933 is a wasteful number, since it uses less digits than its factorization.

507933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56443 (or 56440 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 507933 is about 712.6941840649. The cubic root of 507933 is about 79.7876137332.

The spelling of 507933 in words is "five hundred seven thousand, nine hundred thirty-three".