113832 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 34560.

The previous prime is 113819. The next prime is 113837. The reversal of 113832 is 238311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113837) by changing a digit.

113832 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, 3657 + ... + 3687.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2¹¹³⁸³² is an apocalyptic number.

113832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

113832 is an abundant number, since it is smaller than the sum of its proper divisors (231768).

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

113832 is a wasteful number, since it uses less digits than its factorization.

113832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 113832 is about 337.3899820682. The cubic root of 113832 is about 48.4642454445.

The spelling of 113832 in words is "one hundred thirteen thousand, eight hundred thirty-two".