413411017 has 2 divisors, whose sum is σ = 413411018. Its totient is φ = 413411016.

The previous prime is 413410973. The next prime is 413411023. The reversal of 413411017 is 710114314.

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., 210946576 + 202464441 = 14524^2 + 14229^2 .

It is a cyclic number.

It is not a de Polignac number, because 413411017 - 2²⁷ = 279193289 is a prime.

It is not a weakly prime, because it can be changed into another prime (413411057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206705508 + 206705509.

It is an arithmetic number, because the mean of its divisors is an integer number (206705509).

Almost surely, 2^413411017 is an apocalyptic number.

It is an amenable number.

413411017 is a deficient number, since it is larger than the sum of its proper divisors (1).

413411017 is an equidigital number, since it uses as much as digits as its factorization.

413411017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 413411017 is about 20332.5113303792. The cubic root of 413411017 is about 744.9503845162.

It can be divided in two parts, 4134 and 11017, that added together give a palindrome (15151).

The spelling of 413411017 in words is "four hundred thirteen million, four hundred eleven thousand, seventeen".