557931 has 24 divisors (see below), whose sum is σ = 861840. Its totient is φ = 320320.

The previous prime is 557927. The next prime is 557981. The reversal of 557931 is 139755.

It is a happy number.

It is not a de Polignac number, because 557931 - 2² = 557927 is a prime.

It is a super-2 number, since 2×557931² = 622574001522, which contains 22 as substring.

557931 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (557981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10501 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

557931 is a Friedman number, since it can be written as (91-5)^3-5^7, using all its digits and the basic arithmetic operations.

2⁵⁵⁷⁹³¹ is an apocalyptic number.

557931 is a deficient number, since it is larger than the sum of its proper divisors (303909).

557931 is a wasteful number, since it uses less digits than its factorization.

557931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its digits is 4725, while the sum is 30.

The square root of 557931 is about 746.9477893401. The cubic root of 557931 is about 82.3240695411.

The spelling of 557931 in words is "five hundred fifty-seven thousand, nine hundred thirty-one".