3003993 has 32 divisors (see below), whose sum is σ = 4766720. Its totient is φ = 1866240.

The previous prime is 3003977. The next prime is 3003997. The reversal of 3003993 is 3993003.

It is not a de Polignac number, because 3003993 - 2⁴ = 3003977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3003997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30921 + ... + 31017.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 2^3003993 is an apocalyptic number.

It is an amenable number.

3003993 is a deficient number, since it is larger than the sum of its proper divisors (1762727).

3003993 is a wasteful number, since it uses less digits than its factorization.

3003993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 3003993 is about 1733.2031040821. The cubic root of 3003993 is about 144.2889164684.

Adding to 3003993 its reverse (3993003), we get a palindrome (6996996).

The spelling of 3003993 in words is "three million, three thousand, nine hundred ninety-three".