54066 has 8 divisors (see below), whose sum is σ = 108144. Its totient is φ = 18020.

The previous prime is 54059. The next prime is 54083. The reversal of 54066 is 66045.

54066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

54066 is an admirable number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an unprimeable number.

54066 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4500 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (13518).

2⁵⁴⁰⁶⁶ is an apocalyptic number.

54066 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (54072).

54066 is a wasteful number, since it uses less digits than its factorization.

54066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9016.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 54066 is about 232.5209667965. The cubic root of 54066 is about 37.8130242625.

Subtracting from 54066 its sum of digits (21), we obtain a palindrome (54045).

It can be divided in two parts, 540 and 66, that added together give a palindrome (606).

The spelling of 54066 in words is "fifty-four thousand, sixty-six", and thus it is an eban number.