3003003 has 6 divisors (see below), whose sum is σ = 4337684. Its totient is φ = 2001996.

The previous prime is 3002981. The next prime is 3003017.

3003003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3003003 - 2⁹ = 3002491 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 333667 = 3003003 / (3 + 0 + 0 + 3 + 0 + 0 + 3).

It is a Duffinian number.

3003003 is a modest number, since divided by 3003 gives 3 as remainder.

3003003 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3003043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166825 + ... + 166842.

Almost surely, 2^3003003 is an apocalyptic number.

3003003 is a deficient number, since it is larger than the sum of its proper divisors (1334681).

3003003 is a wasteful number, since it uses less digits than its factorization.

3003003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333673 (or 333670 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 3003003 is about 1732.9174821670. The cubic root of 3003003 is about 144.2730640433.

The spelling of 3003003 in words is "three million, three thousand, three".