817821713 has 2 divisors, whose sum is σ = 817821714. Its totient is φ = 817821712.

The previous prime is 817821673. The next prime is 817821733. The reversal of 817821713 is 317128718.

817821713 is digitally balanced in base 2, 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., 592581649 + 225240064 = 24343^2 + 15008^2 .

It is a cyclic number.

It is not a de Polignac number, because 817821713 - 2⁸ = 817821457 is a prime.

It is not a weakly prime, because it can be changed into another prime (817821733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408910856 + 408910857.

It is an arithmetic number, because the mean of its divisors is an integer number (408910857).

Almost surely, 2^817821713 is an apocalyptic number.

It is an amenable number.

817821713 is a deficient number, since it is larger than the sum of its proper divisors (1).

817821713 is an equidigital number, since it uses as much as digits as its factorization.

817821713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 38.

The square root of 817821713 is about 28597.5822929142. The cubic root of 817821713 is about 935.1606244107.

The spelling of 817821713 in words is "eight hundred seventeen million, eight hundred twenty-one thousand, seven hundred thirteen".