112931 has 16 divisors (see below), whose sum is σ = 149184. Its totient is φ = 82944.

The previous prime is 112927. The next prime is 112939. The reversal of 112931 is 139211.

112931 = 124² + 125² + ... + 130².

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112931 - 2² = 112927 is a prime.

It is a super-2 number, since 2×112931² = 25506821522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

112931 is an undulating number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112939) 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, 1511 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2¹¹²⁹³¹ is an apocalyptic number.

112931 is a deficient number, since it is larger than the sum of its proper divisors (36253).

112931 is a wasteful number, since it uses less digits than its factorization.

112931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its digits is 54, while the sum is 17.

The square root of 112931 is about 336.0520792972. The cubic root of 112931 is about 48.3360389554.

The spelling of 112931 in words is "one hundred twelve thousand, nine hundred thirty-one".