13589 has 4 divisors (see below), whose sum is σ = 13824. Its totient is φ = 13356.

The previous prime is 13577. The next prime is 13591. The reversal of 13589 is 98531.

13589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 98531 = 37 ⋅2663.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13589 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 10.

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 (13789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

2¹³⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

13589 is a deficient number, since it is larger than the sum of its proper divisors (235).

13589 is a wasteful number, since it uses less digits than its factorization.

13589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 1080, while the sum is 26.

The square root of 13589 is about 116.5718662457. The cubic root of 13589 is about 23.8632266541.

The spelling of 13589 in words is "thirteen thousand, five hundred eighty-nine".