9066 has 8 divisors (see below), whose sum is σ = 18144. Its totient is φ = 3020.

The previous prime is 9059. The next prime is 9067. The reversal of 9066 is 6609.

9066 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.

9066 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9067) by changing a digit.

9066 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 750 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2⁹⁰⁶⁶ is an apocalyptic number.

9066 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 (9072).

9066 is a wasteful number, since it uses less digits than its factorization.

9066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 9066 is about 95.2155449493. The cubic root of 9066 is about 20.8515609365.

Subtracting from 9066 its sum of digits (21), we obtain a triangular number (9045 = T₁₃₄).

The spelling of 9066 in words is "nine thousand, sixty-six".