113392 has 20 divisors (see below), whose sum is σ = 231880. Its totient is φ = 53568.

The previous prime is 113383. The next prime is 113417. The reversal of 113392 is 293311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

113392 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 3 ways as a sum of consecutive naturals, for example, 118 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (11594).

2¹¹³³⁹² 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 113392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115940).

113392 is an abundant number, since it is smaller than the sum of its proper divisors (118488).

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

113392 is a wasteful number, since it uses less digits than its factorization.

113392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its digits is 162, while the sum is 19.

The square root of 113392 is about 336.7372863227. The cubic root of 113392 is about 48.4017211327.

It can be divided in two parts, 1133 and 92, that added together give a triangular number (1225 = T₄₉).

The spelling of 113392 in words is "one hundred thirteen thousand, three hundred ninety-two".