3006003 has 54 divisors (see below), whose sum is σ = 5549292. Its totient is φ = 1441440.

The previous prime is 3005999. The next prime is 3006013.

3006003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3006003 - 2² = 3005999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3006003.

It is not an unprimeable number, because it can be changed into a prime (3006013) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 231225 + ... + 231237.

Almost surely, 2^3006003 is an apocalyptic number.

3006003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3006003 is a deficient number, since it is larger than the sum of its proper divisors (2543289).

3006003 is a wasteful number, since it uses less digits than its factorization.

3006003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3006003 is about 1733.7828583764. The cubic root of 3006003 is about 144.3210909842.

Multiplying 3006003 by its sum of digits (12), we get a square (36072036 = 6006²).

The spelling of 3006003 in words is "three million, six thousand, three".