113575 has 24 divisors (see below), whose sum is σ = 178560. Its totient is φ = 69600.

The previous prime is 113567. The next prime is 113591. The reversal of 113575 is 575311.

It is not a de Polignac number, because 113575 - 2³ = 113567 is a prime.

113575 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896 + ... + 1954.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2¹¹³⁵⁷⁵ is an apocalyptic number.

113575 is a deficient number, since it is larger than the sum of its proper divisors (64985).

113575 is a wasteful number, since it uses less digits than its factorization.

113575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its digits is 525, while the sum is 22.

The square root of 113575 is about 337.0089019596. The cubic root of 113575 is about 48.4277451740.

Subtracting from 113575 its product of digits (525), we obtain a triangular number (113050 = T₄₇₅).

Adding to 113575 its reverse (575311), we get a palindrome (688886).

The spelling of 113575 in words is "one hundred thirteen thousand, five hundred seventy-five".