13008 has 20 divisors (see below), whose sum is σ = 33728. Its totient is φ = 4320.

The previous prime is 13007. The next prime is 13009. The reversal of 13008 is 80031.

13008 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (13007) and next prime (13009).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12984 and 13002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 183.

2¹³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

13008 is an abundant number, since it is smaller than the sum of its proper divisors (20720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864).

13008 is a wasteful number, since it uses less digits than its factorization.

13008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13008 is about 114.0526194351. The cubic root of 13008 is about 23.5181691388.

Subtracting from 13008 its sum of digits (12), we obtain a square (12996 = 114²).

Adding to 13008 its reverse (80031), we get a palindrome (93039).

The spelling of 13008 in words is "thirteen thousand, eight".