5310 has 24 divisors (see below), whose sum is σ = 14040. Its totient is φ = 1392.

The previous prime is 5309. The next prime is 5323. The reversal of 5310 is 135.

It is a super-2 number, since 2×5310² = 56392200, which contains 22 as substring.

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

It is a plaindrome in base 13 and base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5292 and 5301.

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 5310.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

It is a practical number, because each smaller number is the sum of distinct divisors of 5310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020).

5310 is an abundant number, since it is smaller than the sum of its proper divisors (8730).

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

5310 is a wasteful number, since it uses less digits than its factorization.

5310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5310 is about 72.8697468089. The cubic root of 5310 is about 17.4460926164.

Adding to 5310 its reverse (135), we get a palindrome (5445).

The spelling of 5310 in words is "five thousand, three hundred ten".