54084 has 12 divisors (see below), whose sum is σ = 126224. Its totient is φ = 18024.

The previous prime is 54083. The next prime is 54091. The reversal of 54084 is 48045.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54084.

It is not an unprimeable number, because it can be changed into a prime (54083) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2242 + ... + 2265.

2⁵⁴⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

54084 is an abundant number, since it is smaller than the sum of its proper divisors (72140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63112).

54084 is a wasteful number, since it uses less digits than its factorization.

54084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 54084 is about 232.5596697624. The cubic root of 54084 is about 37.8172201152.

The spelling of 54084 in words is "fifty-four thousand, eighty-four".