5208 has 32 divisors (see below), whose sum is σ = 15360. Its totient is φ = 1440.

The previous prime is 5197. The next prime is 5209. The reversal of 5208 is 8025.

It is an Ulam number.

5208 is an undulating number in base 5.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

5208 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

2⁵²⁰⁸ is an apocalyptic number.

5208 is the 42-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680).

5208 is an abundant number, since it is smaller than the sum of its proper divisors (10152).

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

5208 is a wasteful number, since it uses less digits than its factorization.

5208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5208 is about 72.1664742107. The cubic root of 5208 is about 17.3336620582. Note that the first 3 decimals are identical.

It can be divided in two parts, 520 and 8, that added together give a triangular number (528 = T₃₂).

The spelling of 5208 in words is "five thousand, two hundred eight".