3066 has 16 divisors (see below), whose sum is σ = 7104. Its totient is φ = 864.

The previous prime is 3061. The next prime is 3067. The reversal of 3066 is 6603.

3066 is a modest number, since divided by 66 gives 30 as remainder.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 6 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 78.

It is an arithmetic number, because the mean of its divisors is an integer number (444).

It is a practical number, because each smaller number is the sum of distinct divisors of 3066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552).

3066 is an abundant number, since it is smaller than the sum of its proper divisors (4038).

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

3066 is a wasteful number, since it uses less digits than its factorization.

3066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3066 is about 55.3714727996. The cubic root of 3066 is about 14.5274944046.

Adding to 3066 its sum of digits (15), we get a triangular number (3081 = T₇₈).

Adding to 3066 its reverse (6603), we get a palindrome (9669).

The spelling of 3066 in words is "three thousand, sixty-six".