112956 has 12 divisors (see below), whose sum is σ = 263592. Its totient is φ = 37648.

The previous prime is 112951. The next prime is 112967. The reversal of 112956 is 659211.

112956 = 108² + 109² + ... + 116².

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112951) by changing a digit.

112956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4695 + ... + 4718.

It is an arithmetic number, because the mean of its divisors is an integer number (21966).

2¹¹²⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

112956 is an abundant number, since it is smaller than the sum of its proper divisors (150636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112956 is a wasteful number, since it uses less digits than its factorization.

112956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9418 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 112956 is about 336.0892738544. The cubic root of 112956 is about 48.3396054748.

The spelling of 112956 in words is "one hundred twelve thousand, nine hundred fifty-six".