113982 has 24 divisors (see below), whose sum is σ = 252168. Its totient is φ = 34320.

The previous prime is 113969. The next prime is 113983. The reversal of 113982 is 289311.

It is a nialpdrome in base 7.

It is a congruent number.

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

113982 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 11 ways as a sum of consecutive naturals, for example, 648 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (10507).

2¹¹³⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126084).

113982 is an abundant number, since it is smaller than the sum of its proper divisors (138186).

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

113982 is a wasteful number, since it uses less digits than its factorization.

113982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 113982 is about 337.6122035709. The cubic root of 113982 is about 48.4855237201.

It can be divided in two parts, 1139 and 82, that added together give a palindrome (1221).

The spelling of 113982 in words is "one hundred thirteen thousand, nine hundred eighty-two".