113589 has 16 divisors (see below), whose sum is σ = 192640. Its totient is φ = 64800.

The previous prime is 113567. The next prime is 113591. The reversal of 113589 is 985311.

It is not a de Polignac number, because 113589 - 2⁵ = 113557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (12040).

2¹¹³⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

113589 is a deficient number, since it is larger than the sum of its proper divisors (79051).

113589 is an equidigital number, since it uses as much as digits as its factorization.

113589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 113589 is about 337.0296722842. The cubic root of 113589 is about 48.4297349328.

It can be divided in two parts, 11 and 3589, that added together give a square (3600 = 60²).

The spelling of 113589 in words is "one hundred thirteen thousand, five hundred eighty-nine".