13597 has 2 divisors, whose sum is σ = 13598. Its totient is φ = 13596.

The previous prime is 13591. The next prime is 13613. The reversal of 13597 is 79531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 4761 = 94^2 + 69^2 .

It is an emirp because it is prime and its reverse (79531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13597 - 2⁷ = 13469 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6798 + 6799.

It is an arithmetic number, because the mean of its divisors is an integer number (6799).

2¹³⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

13597 is a deficient number, since it is larger than the sum of its proper divisors (1).

13597 is an equidigital number, since it uses as much as digits as its factorization.

13597 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 25.

The square root of 13597 is about 116.6061747936. The cubic root of 13597 is about 23.8679085871.

It can be divided in two parts, 135 and 97, that added together give a palindrome (232).

The spelling of 13597 in words is "thirteen thousand, five hundred ninety-seven".