113931 has 6 divisors (see below), whose sum is σ = 164580. Its totient is φ = 75948.

The previous prime is 113921. The next prime is 113933. The reversal of 113931 is 139311.

It is not a de Polignac number, because 113931 - 2⁵ = 113899 is a prime.

It is a super-2 number, since 2×113931² = 25960545522, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113933) 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, 6321 + ... + 6338.

It is an arithmetic number, because the mean of its divisors is an integer number (27430).

2¹¹³⁹³¹ is an apocalyptic number.

113931 is a deficient number, since it is larger than the sum of its proper divisors (50649).

113931 is a wasteful number, since it uses less digits than its factorization.

113931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12662 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 113931 is about 337.5366646751. The cubic root of 113931 is about 48.4782912021.

The spelling of 113931 in words is "one hundred thirteen thousand, nine hundred thirty-one".