18006 has 8 divisors (see below), whose sum is σ = 36024. Its totient is φ = 6000.

The previous prime is 17989. The next prime is 18013. The reversal of 18006 is 60081.

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

18006 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

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, 1495 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (4503).

2¹⁸⁰⁰⁶ is an apocalyptic number.

18006 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 (18012).

18006 is a wasteful number, since it uses less digits than its factorization.

18006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 18006 is about 134.1864374667. The cubic root of 18006 is about 26.2103255535.

Adding to 18006 its reverse (60081), we get a palindrome (78087).

The spelling of 18006 in words is "eighteen thousand, six".