13007417 has 2 divisors, whose sum is σ = 13007418. Its totient is φ = 13007416.

The previous prime is 13007411. The next prime is 13007437. The reversal of 13007417 is 71470031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7513081 + 5494336 = 2741^2 + 2344^2 .

It is an emirp because it is prime and its reverse (71470031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13007417 - 2⁶ = 13007353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13007392 and 13007401.

It is not a weakly prime, because it can be changed into another prime (13007411) 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, 6503708 + 6503709.

It is an arithmetic number, because the mean of its divisors is an integer number (6503709).

Almost surely, 2^13007417 is an apocalyptic number.

It is an amenable number.

13007417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007417 is an equidigital number, since it uses as much as digits as its factorization.

13007417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 13007417 is about 3606.5796816374. The cubic root of 13007417 is about 235.1781778329.

Adding to 13007417 its reverse (71470031), we get a palindrome (84477448).

The spelling of 13007417 in words is "thirteen million, seven thousand, four hundred seventeen".