13008317 has 16 divisors (see below), whose sum is σ = 15882240. Its totient is φ = 10411632.

The previous prime is 13008301. The next prime is 13008319. The reversal of 13008317 is 71380031.

It is a happy number.

13008317 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13008317 - 2⁴ = 13008301 is a prime.

It is a super-2 number, since 2×13008317² = 338432622344978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13008292 and 13008301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5984 + ... + 7862.

It is an arithmetic number, because the mean of its divisors is an integer number (992640).

Almost surely, 2^13008317 is an apocalyptic number.

It is an amenable number.

13008317 is a deficient number, since it is larger than the sum of its proper divisors (2873923).

13008317 is a wasteful number, since it uses less digits than its factorization.

13008317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 13008317 is about 3606.7044514349. The cubic root of 13008317 is about 235.1836018019.

Adding to 13008317 its reverse (71380031), we get a palindrome (84388348).

The spelling of 13008317 in words is "thirteen million, eight thousand, three hundred seventeen".