413114417 has 2 divisors, whose sum is σ = 413114418. Its totient is φ = 413114416.

The previous prime is 413114389. The next prime is 413114447. The reversal of 413114417 is 714411314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 345365056 + 67749361 = 18584^2 + 8231^2 .

It is a cyclic number.

It is not a de Polignac number, because 413114417 - 2⁶ = 413114353 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413114447) 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, 206557208 + 206557209.

It is an arithmetic number, because the mean of its divisors is an integer number (206557209).

Almost surely, 2^413114417 is an apocalyptic number.

It is an amenable number.

413114417 is a deficient number, since it is larger than the sum of its proper divisors (1).

413114417 is an equidigital number, since it uses as much as digits as its factorization.

413114417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 413114417 is about 20325.2162842121. The cubic root of 413114417 is about 744.7721880511.

The spelling of 413114417 in words is "four hundred thirteen million, one hundred fourteen thousand, four hundred seventeen".