113176 has 32 divisors (see below), whose sum is σ = 253440. Its totient is φ = 46368.

The previous prime is 113173. The next prime is 113177. The reversal of 113176 is 671311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2385 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2¹¹³¹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126720).

113176 is an abundant number, since it is smaller than the sum of its proper divisors (140264).

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

113176 is a wasteful number, since it uses less digits than its factorization.

113176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 113176 is about 336.4164086367. The cubic root of 113176 is about 48.3709681777.

Subtracting from 113176 its product of digits (126), we obtain a triangular number (113050 = T₄₇₅).

Adding to 113176 its reverse (671311), we get a palindrome (784487).

It can be divided in two parts, 113 and 176, that added together give a square (289 = 17²).

The spelling of 113176 in words is "one hundred thirteen thousand, one hundred seventy-six".