53700 has 36 divisors (see below), whose sum is σ = 156240. Its totient is φ = 14240.

The previous prime is 53699. The next prime is 53717. The reversal of 53700 is 735.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁵³⁷⁰⁰ is an apocalyptic number.

53700 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 53700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

53700 is an abundant number, since it is smaller than the sum of its proper divisors (102540).

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

53700 is a wasteful number, since it uses less digits than its factorization.

53700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 53700 is about 231.7326045251. The cubic root of 53700 is about 37.7275058599.

The spelling of 53700 in words is "fifty-three thousand, seven hundred".