54006 has 8 divisors (see below), whose sum is σ = 108024. Its totient is φ = 18000.

The previous prime is 54001. The next prime is 54011. The reversal of 54006 is 60045.

It is an interprime number because it is at equal distance from previous prime (54001) and next prime (54011).

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

54006 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4495 + ... + 4506.

It is an arithmetic number, because the mean of its divisors is an integer number (13503).

2⁵⁴⁰⁰⁶ is an apocalyptic number.

54006 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 (54012).

54006 is a wasteful number, since it uses less digits than its factorization.

54006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 54006 is about 232.3919103583. The cubic root of 54006 is about 37.7990313573.

It can be divided in two parts, 5400 and 6, that multiplied together give a square (32400 = 180²).

The spelling of 54006 in words is "fifty-four thousand, six", and thus it is an eban number.