5320 has 32 divisors (see below), whose sum is σ = 14400. Its totient is φ = 1728.

The previous prime is 5309. The next prime is 5323. The reversal of 5320 is 235.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a d-powerful number, because it can be written as 5⁵ + 2³ + 3⁷ + 0 .

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5297 and 5306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5323) by changing a digit.

5320 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, 271 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200).

5320 is an abundant number, since it is smaller than the sum of its proper divisors (9080).

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

5320 is a wasteful number, since it uses less digits than its factorization.

5320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 5320 is about 72.9383301152. The cubic root of 5320 is about 17.4570374704.

Adding to 5320 its reverse (235), we get a palindrome (5555).

It can be divided in two parts, 5 and 320, that multiplied together give a square (1600 = 40²).

The spelling of 5320 in words is "five thousand, three hundred twenty".