3006633 has 16 divisors (see below), whose sum is σ = 4740480. Its totient is φ = 1658496.

The previous prime is 3006631. The next prime is 3006649. The reversal of 3006633 is 3366003.

3006633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3006633 - 2¹ = 3006631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3006631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (296280).

Almost surely, 2^3006633 is an apocalyptic number.

It is an amenable number.

3006633 is a deficient number, since it is larger than the sum of its proper divisors (1733847).

3006633 is a wasteful number, since it uses less digits than its factorization.

3006633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3006633 is about 1733.9645325092. The cubic root of 3006633 is about 144.3311725816.

The spelling of 3006633 in words is "three million, six thousand, six hundred thirty-three".