54300 has 36 divisors (see below), whose sum is σ = 157976. Its totient is φ = 14400.

The previous prime is 54293. The next prime is 54311. The reversal of 54300 is 345.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 54300.

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, 210 + ... + 390.

2⁵⁴³⁰⁰ is an apocalyptic number.

54300 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 54300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988).

54300 is an abundant number, since it is smaller than the sum of its proper divisors (103676).

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

54300 is a wasteful number, since it uses less digits than its factorization.

54300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 54300 is about 233.0236039546. The cubic root of 54300 is about 37.8674978878.

Adding to 54300 its reverse (345), we get a palindrome (54645).

The spelling of 54300 in words is "fifty-four thousand, three hundred".