113955 has 16 divisors (see below), whose sum is σ = 186624. Its totient is φ = 59360.

The previous prime is 113947. The next prime is 113957. The reversal of 113955 is 559311.

It is not a de Polignac number, because 113955 - 2³ = 113947 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2¹¹³⁹⁵⁵ is an apocalyptic number.

113955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113955 is a deficient number, since it is larger than the sum of its proper divisors (72669).

113955 is a wasteful number, since it uses less digits than its factorization.

113955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186.

The product of its digits is 675, while the sum is 24.

The square root of 113955 is about 337.5722144964. The cubic root of 113955 is about 48.4816950088.

The spelling of 113955 in words is "one hundred thirteen thousand, nine hundred fifty-five".