8217103813 has 2 divisors, whose sum is σ = 8217103814. Its totient is φ = 8217103812.

The previous prime is 8217103751. The next prime is 8217103823. The reversal of 8217103813 is 3183017128.

8217103813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4498787329 + 3718316484 = 67073^2 + 60978^2 .

It is a cyclic number.

It is not a de Polignac number, because 8217103813 - 2¹⁷ = 8216972741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8217103823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4108551906 + 4108551907.

It is an arithmetic number, because the mean of its divisors is an integer number (4108551907).

Almost surely, 2^8217103813 is an apocalyptic number.

It is an amenable number.

8217103813 is a deficient number, since it is larger than the sum of its proper divisors (1).

8217103813 is an equidigital number, since it uses as much as digits as its factorization.

8217103813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 8217103813 is about 90648.2421947607. The cubic root of 8217103813 is about 2017.9307481401.

The spelling of 8217103813 in words is "eight billion, two hundred seventeen million, one hundred three thousand, eight hundred thirteen".