13117617 has 6 divisors (see below), whose sum is σ = 18947682. Its totient is φ = 8745072.

The previous prime is 13117579. The next prime is 13117661. The reversal of 13117617 is 71671131.

13117617 is a `hidden beast` number, since 1 + 31 + 17 + 617 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9790641 + 3326976 = 3129^2 + 1824^2 .

It is not a de Polignac number, because 13117617 - 2¹² = 13113521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13117697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728748 + ... + 728765.

It is an arithmetic number, because the mean of its divisors is an integer number (3157947).

Almost surely, 2^13117617 is an apocalyptic number.

It is an amenable number.

13117617 is a deficient number, since it is larger than the sum of its proper divisors (5830065).

13117617 is a wasteful number, since it uses less digits than its factorization.

13117617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457519 (or 1457516 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 13117617 is about 3621.8250924085. The cubic root of 13117617 is about 235.8404612157.

Adding to 13117617 its reverse (71671131), we get a palindrome (84788748).

The spelling of 13117617 in words is "thirteen million, one hundred seventeen thousand, six hundred seventeen".