53900 has 54 divisors (see below), whose sum is σ = 148428. Its totient is φ = 16800.

The previous prime is 53899. The next prime is 53917. The reversal of 53900 is 935.

53900 = 6² + 7² + ... + 54².

53900 = 20³ + 21³ + ... + 24³.

53900 is nontrivially palindromic in base 3.

It is a nialpdrome in base 5.

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 17 ways as a sum of consecutive naturals, for example, 4895 + ... + 4905.

2⁵³⁹⁰⁰ is an apocalyptic number.

53900 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 53900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214).

53900 is an abundant number, since it is smaller than the sum of its proper divisors (94528).

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

53900 is a wasteful number, since it uses less digits than its factorization.

53900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 53900 is about 232.1637353249. The cubic root of 53900 is about 37.7742852083.

The spelling of 53900 in words is "fifty-three thousand, nine hundred".