113584 has 20 divisors (see below), whose sum is σ = 228160. Its totient is φ = 54720.

The previous prime is 113567. The next prime is 113591. The reversal of 113584 is 485311.

113584 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382 + ... + 610.

It is an arithmetic number, because the mean of its divisors is an integer number (11408).

2¹¹³⁵⁸⁴ 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 113584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114080).

113584 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

113584 is a wasteful number, since it uses less digits than its factorization.

113584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 113584 is about 337.0222544581. The cubic root of 113584 is about 48.4290243234.

Adding to 113584 its reverse (485311), we get a palindrome (598895).

The spelling of 113584 in words is "one hundred thirteen thousand, five hundred eighty-four".