113988 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 30624.

The previous prime is 113983. The next prime is 113989. The reversal of 113988 is 889311.

Its product of digits (1728) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113988.

It is not an unprimeable number, because it can be changed into a prime (113983) by changing a digit.

113988 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 in 15 ways as a sum of consecutive naturals, for example, 1903 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹¹³⁹⁸⁸ 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 113988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

113988 is an abundant number, since it is smaller than the sum of its proper divisors (208572).

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

113988 is a wasteful number, since it uses less digits than its factorization.

113988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 113988 is about 337.6210893887. The cubic root of 113988 is about 48.4863744627.

The spelling of 113988 in words is "one hundred thirteen thousand, nine hundred eighty-eight".