3006663 has 16 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 1808480.

The previous prime is 3006649. The next prime is 3006667. The reversal of 3006663 is 3666003.

It is a cyclic number.

It is not a de Polignac number, because 3006663 - 2⁵ = 3006631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5653 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^3006663 is an apocalyptic number.

3006663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3006663 is a deficient number, since it is larger than the sum of its proper divisors (1399737).

3006663 is a wasteful number, since it uses less digits than its factorization.

3006663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3006663 is about 1733.9731831836. The cubic root of 3006663 is about 144.3316526226.

The spelling of 3006663 in words is "three million, six thousand, six hundred sixty-three".