113292 has 24 divisors (see below), whose sum is σ = 294000. Its totient is φ = 37728.

The previous prime is 113287. The next prime is 113327. The reversal of 113292 is 292311.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113292.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (12250).

2¹¹³²⁹² is an apocalyptic number.

113292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113292 is an abundant number, since it is smaller than the sum of its proper divisors (180708).

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

113292 is a wasteful number, since it uses less digits than its factorization.

113292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 113292 is about 336.5887698661. The cubic root of 113292 is about 48.3874885130.

The spelling of 113292 in words is "one hundred thirteen thousand, two hundred ninety-two".