5304 has 32 divisors (see below), whose sum is σ = 15120. Its totient is φ = 1536.

The previous prime is 5303. The next prime is 5309. The reversal of 5304 is 4035.

5304 = T₁₆ + T₁₇ + ... + T₃₂.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 5304.

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 5304.

It is not an unprimeable number, because it can be changed into a prime (5303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 320.

2⁵³⁰⁴ 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 5304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

5304 is an abundant number, since it is smaller than the sum of its proper divisors (9816).

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

5304 is a wasteful number, since it uses less digits than its factorization.

5304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5304 is about 72.8285658241. The cubic root of 5304 is about 17.4395191069.

Adding to 5304 its reverse (4035), we get a palindrome (9339).

The spelling of 5304 in words is "five thousand, three hundred four".