113585724 has 108 divisors (see below), whose sum is σ = 351678600. Its totient is φ = 30735936.

The previous prime is 113585723. The next prime is 113585761. The reversal of 113585724 is 427585311.

113585724 is a `hidden beast` number, since 1 + 1 + 3 + 585 + 72 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113585723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31822 + ... + 35210.

Almost surely, 2^113585724 is an apocalyptic number.

113585724 is a gapful number since it is divisible by the number (14) 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 113585724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175839300).

113585724 is an abundant number, since it is smaller than the sum of its proper divisors (238092876).

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

113585724 is a wasteful number, since it uses less digits than its factorization.

113585724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3420 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 113585724 is about 10657.6603436214. The cubic root of 113585724 is about 484.2926934392.

The spelling of 113585724 in words is "one hundred thirteen million, five hundred eighty-five thousand, seven hundred twenty-four".