113709792 has 144 divisors (see below), whose sum is σ = 362662272. Its totient is φ = 31046400.

The previous prime is 113709763. The next prime is 113709793. The reversal of 113709792 is 297907311.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113709792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113709793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107667 + ... + 108717.

It is an arithmetic number, because the mean of its divisors is an integer number (2518488).

Almost surely, 2^113709792 is an apocalyptic number.

113709792 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 113709792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181331136).

113709792 is an abundant number, since it is smaller than the sum of its proper divisors (248952480).

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

113709792 is a wasteful number, since it uses less digits than its factorization.

113709792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 113709792 is about 10663.4793571329. The cubic root of 113709792 is about 484.4689578508.

The spelling of 113709792 in words is "one hundred thirteen million, seven hundred nine thousand, seven hundred ninety-two".