3004993 has 2 divisors, whose sum is σ = 3004994. Its totient is φ = 3004992.

The previous prime is 3004987. The next prime is 3005011. The reversal of 3004993 is 3994003.

3004993 is nontrivially palindromic in base 12.

3004993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 142129 = 1692^2 + 377^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004993 - 2⁵ = 3004961 is a prime.

It is not a weakly prime, because it can be changed into another prime (3004913) 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 as a sum of consecutive naturals, namely, 1502496 + 1502497.

It is an arithmetic number, because the mean of its divisors is an integer number (1502497).

Almost surely, 2^3004993 is an apocalyptic number.

It is an amenable number.

3004993 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004993 is an equidigital number, since it uses as much as digits as its factorization.

3004993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3004993 is about 1733.4915632907. The cubic root of 3004993 is about 144.3049254836.

Adding to 3004993 its reverse (3994003), we get a palindrome (6998996).

The spelling of 3004993 in words is "three million, four thousand, nine hundred ninety-three".