413141317 has 2 divisors, whose sum is σ = 413141318. Its totient is φ = 413141316.

The previous prime is 413141303. The next prime is 413141329. The reversal of 413141317 is 713141314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247401441 + 165739876 = 15729^2 + 12874^2 .

It is a cyclic number.

It is not a de Polignac number, because 413141317 - 2⁷ = 413141189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413141291 and 413141300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413144317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206570658 + 206570659.

It is an arithmetic number, because the mean of its divisors is an integer number (206570659).

Almost surely, 2^413141317 is an apocalyptic number.

It is an amenable number.

413141317 is a deficient number, since it is larger than the sum of its proper divisors (1).

413141317 is an equidigital number, since it uses as much as digits as its factorization.

413141317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 413141317 is about 20325.8780130158. The cubic root of 413141317 is about 744.7883530135.

The spelling of 413141317 in words is "four hundred thirteen million, one hundred forty-one thousand, three hundred seventeen".