54054 has 64 divisors (see below), whose sum is σ = 161280. Its totient is φ = 12960.

The previous prime is 54049. The next prime is 54059. The reversal of 54054 is 45045.

It is a happy number.

54054 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54049) and next prime (54059).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4152 + ... + 4164.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁵⁴⁰⁵⁴ is an apocalyptic number.

54054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

54054 is an abundant number, since it is smaller than the sum of its proper divisors (107226).

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

54054 is a wasteful number, since it uses less digits than its factorization.

54054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54054 is about 232.4951612400. The cubic root of 54054 is about 37.8102265099.

54054 divided by its sum of digits (18) gives a palindrome (3003).

Adding to 54054 its reverse (45045), we get a palindrome (99099).

Subtracting from 54054 its reverse (45045), we obtain a palindrome (9009).

The spelling of 54054 in words is "fifty-four thousand, fifty-four", and thus it is an eban number.