54200 has 24 divisors (see below), whose sum is σ = 126480. Its totient is φ = 21600.

The previous prime is 54193. The next prime is 54217. The reversal of 54200 is 245.

54200 = 34² + 35² + ... + 58².

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 54200.

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, 65 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (5270).

2⁵⁴²⁰⁰ is an apocalyptic number.

54200 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 54200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63240).

54200 is an abundant number, since it is smaller than the sum of its proper divisors (72280).

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

54200 is a wasteful number, since it uses less digits than its factorization.

54200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 54200 is about 232.8089345365. The cubic root of 54200 is about 37.8442377481.

Adding to 54200 its reverse (245), we get a palindrome (54445).

The spelling of 54200 in words is "fifty-four thousand, two hundred".