817412417 has 2 divisors, whose sum is σ = 817412418. Its totient is φ = 817412416.

The previous prime is 817412311. The next prime is 817412423. The reversal of 817412417 is 714214718.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760877056 + 56535361 = 27584^2 + 7519^2 .

It is a cyclic number.

It is not a de Polignac number, because 817412417 - 2⁸ = 817412161 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (817412117) 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, 408706208 + 408706209.

It is an arithmetic number, because the mean of its divisors is an integer number (408706209).

Almost surely, 2^817412417 is an apocalyptic number.

It is an amenable number.

817412417 is a deficient number, since it is larger than the sum of its proper divisors (1).

817412417 is an equidigital number, since it uses as much as digits as its factorization.

817412417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12544, while the sum is 35.

The square root of 817412417 is about 28590.4252679109. The cubic root of 817412417 is about 935.0045914728.

The spelling of 817412417 in words is "eight hundred seventeen million, four hundred twelve thousand, four hundred seventeen".