53300 has 36 divisors (see below), whose sum is σ = 127596. Its totient is φ = 19200.

The previous prime is 53299. The next prime is 53309. The reversal of 53300 is 335.

It can be written as a sum of positive squares in 6 ways, for example, as 17956 + 35344 = 134^2 + 188^2 .

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 53300.

It is not an unprimeable number, because it can be changed into a prime (53309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1280 + ... + 1320.

2⁵³³⁰⁰ is an apocalyptic number.

53300 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 53300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63798).

53300 is an abundant number, since it is smaller than the sum of its proper divisors (74296).

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

53300 is a wasteful number, since it uses less digits than its factorization.

53300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 53300 is about 230.8679276123. The cubic root of 53300 is about 37.6335975540.

Adding to 53300 its reverse (335), we get a palindrome (53635).

It can be divided in two parts, 53 and 300, that added together give a palindrome (353).

The spelling of 53300 in words is "fifty-three thousand, three hundred".