3006 has 12 divisors (see below), whose sum is σ = 6552. Its totient is φ = 996.

The previous prime is 3001. The next prime is 3011. The reversal of 3006 is 6003.

3006 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3001) and next prime (3011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

3006 is an abundant number, since it is smaller than the sum of its proper divisors (3546).

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

3006 is a wasteful number, since it uses less digits than its factorization.

3006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3006 is about 54.8270006475. The cubic root of 3006 is about 14.4321042973.

Adding to 3006 its reverse (6003), we get a palindrome (9009).

The spelling of 3006 in words is "three thousand, six".