13588 has 12 divisors (see below), whose sum is σ = 24640. Its totient is φ = 6552.

The previous prime is 13577. The next prime is 13591. The reversal of 13588 is 88531.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

13588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 211.

2¹³⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

13588 is a deficient number, since it is larger than the sum of its proper divisors (11052).

13588 is a wasteful number, since it uses less digits than its factorization.

13588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 13588 is about 116.5675769672. The cubic root of 13588 is about 23.8626412833.

The spelling of 13588 in words is "thirteen thousand, five hundred eighty-eight".