113588 has 12 divisors (see below), whose sum is σ = 202020. Its totient is φ = 55872.

The previous prime is 113567. The next prime is 113591. The reversal of 113588 is 885311.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 68644 = 212^2 + 262^2 .

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

113588 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 98 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (16835).

2¹¹³⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

113588 is a deficient number, since it is larger than the sum of its proper divisors (88432).

113588 is a wasteful number, since it uses less digits than its factorization.

113588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its digits is 960, while the sum is 26.

The square root of 113588 is about 337.0281887320. The cubic root of 113588 is about 48.4295928126.

Adding to 113588 its reverse (885311), we get a palindrome (998899).

The spelling of 113588 in words is "one hundred thirteen thousand, five hundred eighty-eight".