112916 has 6 divisors (see below), whose sum is σ = 197610. Its totient is φ = 56456.

The previous prime is 112913. The next prime is 112919. The reversal of 112916 is 619211.

112916 = T₁₆₄ + T₁₆₅ + ... + T₁₇₁.

It is an interprime number because it is at equal distance from previous prime (112913) and next prime (112919).

It can be written as a sum of positive squares in only one way, i.e., 64516 + 48400 = 254^2 + 220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14111 + ... + 14118.

It is an arithmetic number, because the mean of its divisors is an integer number (32935).

2¹¹²⁹¹⁶ is an apocalyptic number.

It is an amenable number.

112916 is a deficient number, since it is larger than the sum of its proper divisors (84694).

112916 is a wasteful number, since it uses less digits than its factorization.

112916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28233 (or 28231 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

The square root of 112916 is about 336.0297605868. The cubic root of 112916 is about 48.3338987911. Note that the first 3 decimals are identical.

Subtracting from 112916 its sum of digits (20), we obtain a square (112896 = 336²).

The spelling of 112916 in words is "one hundred twelve thousand, nine hundred sixteen".