113082585 has 64 divisors (see below), whose sum is σ = 237496320. Its totient is φ = 44513280.

The previous prime is 113082577. The next prime is 113082601. The reversal of 113082585 is 585280311.

It is a happy number.

It is not a de Polignac number, because 113082585 - 2³ = 113082577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19369 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (3710880).

Almost surely, 2^113082585 is an apocalyptic number.

113082585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113082585 is an abundant number, since it is smaller than the sum of its proper divisors (124413735).

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

113082585 is a wasteful number, since it uses less digits than its factorization.

113082585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 113082585 is about 10634.0295749072. The cubic root of 113082585 is about 483.5765611577.

The spelling of 113082585 in words is "one hundred thirteen million, eighty-two thousand, five hundred eighty-five".