8004413 has 2 divisors, whose sum is σ = 8004414. Its totient is φ = 8004412.

The previous prime is 8004401. The next prime is 8004419. The reversal of 8004413 is 3144008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7628644 + 375769 = 2762^2 + 613^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004413 - 2¹⁶ = 7938877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8004419) 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 as a sum of consecutive naturals, namely, 4002206 + 4002207.

It is an arithmetic number, because the mean of its divisors is an integer number (4002207).

Almost surely, 2^8004413 is an apocalyptic number.

It is an amenable number.

8004413 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004413 is an equidigital number, since it uses as much as digits as its factorization.

8004413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8004413 is about 2829.2071327494. The cubic root of 8004413 is about 200.0367682401.

The spelling of 8004413 in words is "eight million, four thousand, four hundred thirteen".