8007413 has 2 divisors, whose sum is σ = 8007414. Its totient is φ = 8007412.

The previous prime is 8007407. The next prime is 8007431. The reversal of 8007413 is 3147008.

It is a happy number.

8007413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (8007431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7879249 + 128164 = 2807^2 + 358^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007413 - 2²⁰ = 6958837 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8007403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003706 + 4003707.

It is an arithmetic number, because the mean of its divisors is an integer number (4003707).

Almost surely, 2^8007413 is an apocalyptic number.

It is an amenable number.

8007413 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007413 is an equidigital number, since it uses as much as digits as its factorization.

8007413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 8007413 is about 2829.7372669561. The cubic root of 8007413 is about 200.0617559291.

The spelling of 8007413 in words is "eight million, seven thousand, four hundred thirteen".