13004993 has 2 divisors, whose sum is σ = 13004994. Its totient is φ = 13004992.

The previous prime is 13004989. The next prime is 13005007. The reversal of 13004993 is 39940031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10549504 + 2455489 = 3248^2 + 1567^2 .

It is an emirp because it is prime and its reverse (39940031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13004993 - 2² = 13004989 is a prime.

It is not a weakly prime, because it can be changed into another prime (13004933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502496 + 6502497.

It is an arithmetic number, because the mean of its divisors is an integer number (6502497).

Almost surely, 2^13004993 is an apocalyptic number.

It is an amenable number.

13004993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004993 is an equidigital number, since it uses as much as digits as its factorization.

13004993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 13004993 is about 3606.2436135125. The cubic root of 13004993 is about 235.1635680320.

The spelling of 13004993 in words is "thirteen million, four thousand, nine hundred ninety-three".