13591 has 2 divisors, whose sum is σ = 13592. Its totient is φ = 13590.

The previous prime is 13577. The next prime is 13597. The reversal of 13591 is 19531.

13591 is nontrivially palindromic in base 4.

13591 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (19531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13591 - 2⁷ = 13463 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6795 + 6796.

It is an arithmetic number, because the mean of its divisors is an integer number (6796).

2¹³⁵⁹¹ is an apocalyptic number.

13591 is a deficient number, since it is larger than the sum of its proper divisors (1).

13591 is an equidigital number, since it uses as much as digits as its factorization.

13591 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 19.

The square root of 13591 is about 116.5804443292. The cubic root of 13591 is about 23.8643973096.

Subtracting from 13591 its product of digits (135), we obtain a square (13456 = 116²).

The spelling of 13591 in words is "thirteen thousand, five hundred ninety-one".