9006 has 16 divisors (see below), whose sum is σ = 19200. Its totient is φ = 2808.

The previous prime is 9001. The next prime is 9007. The reversal of 9006 is 6009.

9006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9006² = 162216072, which contains 22 as substring.

9006 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

9006 is an abundant number, since it is smaller than the sum of its proper divisors (10194).

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 (9600).

9006 is a wasteful number, since it uses less digits than its factorization.

9006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 9006 is about 94.8999473129. The cubic root of 9006 is about 20.8054596122.

The spelling of 9006 in words is "nine thousand, six".