113585792 has 32 divisors (see below), whose sum is σ = 228315780. Its totient is φ = 56283136.

The previous prime is 113585761. The next prime is 113585803. The reversal of 113585792 is 297585311.

It can be written as a sum of positive squares in 2 ways, for example, as 72318016 + 41267776 = 8504^2 + 6424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×113585792³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10538 + ... + 18390.

Almost surely, 2^113585792 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 113585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114157890).

113585792 is an abundant number, since it is smaller than the sum of its proper divisors (114729988).

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

113585792 is an equidigital number, since it uses as much as digits as its factorization.

113585792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7968 counting only the distinct ones).

The product of its digits is 75600, while the sum is 41.

The square root of 113585792 is about 10657.6635338145. The cubic root of 113585792 is about 484.2927900825.

It can be divided in two parts, 113 and 585792, that multiplied together give a square (66194496 = 8136²).

The spelling of 113585792 in words is "one hundred thirteen million, five hundred eighty-five thousand, seven hundred ninety-two".