13197 has 8 divisors (see below), whose sum is σ = 18144. Its totient is φ = 8528.

The previous prime is 13187. The next prime is 13217. The reversal of 13197 is 79131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13197 - 2⁸ = 12941 is a prime.

It is a plaindrome in base 12 and base 16.

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 (13127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2¹³¹⁹⁷ is an apocalyptic number.

It is an amenable number.

13197 is a deficient number, since it is larger than the sum of its proper divisors (4947).

13197 is an equidigital number, since it uses as much as digits as its factorization.

13197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139.

The product of its digits is 189, while the sum is 21.

The square root of 13197 is about 114.8781963647. The cubic root of 13197 is about 23.6315244710.

It can be divided in two parts, 1319 and 7, that added together give a triangular number (1326 = T₅₁).

The spelling of 13197 in words is "thirteen thousand, one hundred ninety-seven".