13197137 has 2 divisors, whose sum is σ = 13197138. Its totient is φ = 13197136.

The previous prime is 13197131. The next prime is 13197143. The reversal of 13197137 is 73179131.

It is a balanced prime because it is at equal distance from previous prime (13197131) and next prime (13197143).

It can be written as a sum of positive squares in only one way, i.e., 8317456 + 4879681 = 2884^2 + 2209^2 .

It is a cyclic number.

It is not a de Polignac number, because 13197137 - 2¹⁴ = 13180753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13197131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6598568 + 6598569.

It is an arithmetic number, because the mean of its divisors is an integer number (6598569).

Almost surely, 2^13197137 is an apocalyptic number.

It is an amenable number.

13197137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13197137 is an equidigital number, since it uses as much as digits as its factorization.

13197137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3969, while the sum is 32.

The square root of 13197137 is about 3632.7863961428. The cubic root of 13197137 is about 236.3160624487.

The spelling of 13197137 in words is "thirteen million, one hundred ninety-seven thousand, one hundred thirty-seven".