5220 has 36 divisors (see below), whose sum is σ = 16380. Its totient is φ = 1344.

The previous prime is 5209. The next prime is 5227. The reversal of 5220 is 225.

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 2916 = 48^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

5220 is an undulating number in base 12.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5220.

It is not an unprimeable number, because it can be changed into a prime (5227) by changing a digit.

It is a nontrivial repunit in base 17.

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 11 ways as a sum of consecutive naturals, for example, 166 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (455).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190).

5220 is an abundant number, since it is smaller than the sum of its proper divisors (11160).

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

5220 is a wasteful number, since it uses less digits than its factorization.

5220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 5220 is about 72.2495674728. The cubic root of 5220 is about 17.3469649506.

Adding to 5220 its reverse (225), we get a palindrome (5445).

It can be divided in two parts, 5 and 220, that added together give a square (225 = 15²).

The spelling of 5220 in words is "five thousand, two hundred twenty".