5300 has 18 divisors (see below), whose sum is σ = 11718. Its totient is φ = 2080.

The previous prime is 5297. The next prime is 5303. The reversal of 5300 is 35.

5300 = T₃₉ + T₄₀ + ... + T₄₄.

5300 = 8³ + 9³ + ... + 12³.

It is an interprime number because it is at equal distance from previous prime (5297) and next prime (5303).

It can be written as a sum of positive squares in 3 ways, for example, as 676 + 4624 = 26^2 + 68^2 .

It is a nialpdrome in base 10.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 74 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

2⁵³⁰⁰ is an apocalyptic number.

5300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859).

5300 is an abundant number, since it is smaller than the sum of its proper divisors (6418).

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

5300 is a wasteful number, since it uses less digits than its factorization.

5300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 5300 is about 72.8010988928. The cubic root of 5300 is about 17.4351340127.

Adding to 5300 its reverse (35), we get a palindrome (5335).

The spelling of 5300 in words is "five thousand, three hundred".