13208 has 16 divisors (see below), whose sum is σ = 26880. Its totient is φ = 6048.

The previous prime is 13187. The next prime is 13217. The reversal of 13208 is 80231.

13208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 12.

It is a zygodrome in base 2 and base 12.

It is a junction number, because it is equal to n+sod(n) for n = 13192 and 13201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹³²⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

13208 is an abundant number, since it is smaller than the sum of its proper divisors (13672).

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

13208 is a wasteful number, since it uses less digits than its factorization.

13208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13208 is about 114.9260631885. The cubic root of 13208 is about 23.6380884522.

Adding to 13208 its reverse (80231), we get a palindrome (93439).

It can be divided in two parts, 13 and 208, that multiplied together give a square (2704 = 52²).

The spelling of 13208 in words is "thirteen thousand, two hundred eight".