113553 has 24 divisors (see below), whose sum is σ = 189696. Its totient is φ = 64800.

The previous prime is 113539. The next prime is 113557. The reversal of 113553 is 355311.

It is a happy number.

113553 is a `hidden beast` number, since 113 + 553 = 666.

113553 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 113553 - 2⁴ = 113537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3051 + ... + 3087.

It is an arithmetic number, because the mean of its divisors is an integer number (7904).

2¹¹³⁵⁵³ is an apocalyptic number.

It is an amenable number.

113553 is a deficient number, since it is larger than the sum of its proper divisors (76143).

113553 is a wasteful number, since it uses less digits than its factorization.

113553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 113553 is about 336.9762602914. The cubic root of 113553 is about 48.4246180797.

Adding to 113553 its reverse (355311), we get a palindrome (468864).

It can be divided in two parts, 113 and 553, that added together give a palindrome (666).

The spelling of 113553 in words is "one hundred thirteen thousand, five hundred fifty-three".