53800 has 24 divisors (see below), whose sum is σ = 125550. Its totient is φ = 21440.

The previous prime is 53791. The next prime is 53813. The reversal of 53800 is 835.

It can be written as a sum of positive squares in 3 ways, for example, as 26244 + 27556 = 162^2 + 166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66 + ... + 334.

2⁵³⁸⁰⁰ is an apocalyptic number.

53800 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 53800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62775).

53800 is an abundant number, since it is smaller than the sum of its proper divisors (71750).

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

53800 is a wasteful number, since it uses less digits than its factorization.

53800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 53800 is about 231.9482700949. The cubic root of 53800 is about 37.7509100259.

The spelling of 53800 in words is "fifty-three thousand, eight hundred".