13617137 has 2 divisors, whose sum is σ = 13617138. Its totient is φ = 13617136.

The previous prime is 13617133. The next prime is 13617139. The reversal of 13617137 is 73171631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9991921 + 3625216 = 3161^2 + 1904^2 .

It is a cyclic number.

It is not a de Polignac number, because 13617137 - 2² = 13617133 is a prime.

Together with 13617139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13617133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6808568 + 6808569.

It is an arithmetic number, because the mean of its divisors is an integer number (6808569).

Almost surely, 2^13617137 is an apocalyptic number.

It is an amenable number.

13617137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13617137 is an equidigital number, since it uses as much as digits as its factorization.

13617137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 29.

The square root of 13617137 is about 3690.1405122299. The cubic root of 13617137 is about 238.7968547425.

Adding to 13617137 its reverse (73171631), we get a palindrome (86788768).

The spelling of 13617137 in words is "thirteen million, six hundred seventeen thousand, one hundred thirty-seven".