113888 has 12 divisors (see below), whose sum is σ = 224280. Its totient is φ = 56928.

The previous prime is 113843. The next prime is 113891. The reversal of 113888 is 888311.

It is a happy number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 113888.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113888.

It is an unprimeable number.

113888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1748 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (18690).

2¹¹³⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

113888 is a deficient number, since it is larger than the sum of its proper divisors (110392).

113888 is an equidigital number, since it uses as much as digits as its factorization.

113888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3561 counting only the distinct ones).

The product of its digits is 1536, while the sum is 29.

The square root of 113888 is about 337.4729618799. The cubic root of 113888 is about 48.4721915194.

It can be divided in two parts, 113 and 888, that added together give a palindrome (1001).

The spelling of 113888 in words is "one hundred thirteen thousand, eight hundred eighty-eight".