82671771327317 has 2 divisors, whose sum is σ = 82671771327318. Its totient is φ = 82671771327316.

The previous prime is 82671771327193. The next prime is 82671771327319. The reversal of 82671771327317 is 71372317717628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76684593636676 + 5987177690641 = 8756974^2 + 2446871^2 .

It is a cyclic number.

It is not a de Polignac number, because 82671771327317 - 2¹² = 82671771323221 is a prime.

Together with 82671771327319, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82671771327317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82671771327319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41335885663658 + 41335885663659.

It is an arithmetic number, because the mean of its divisors is an integer number (41335885663659).

Almost surely, 2^{82671771327317} is an apocalyptic number.

It is an amenable number.

82671771327317 is a deficient number, since it is larger than the sum of its proper divisors (1).

82671771327317 is an equidigital number, since it uses as much as digits as its factorization.

82671771327317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29042496, while the sum is 62.

The spelling of 82671771327317 in words is "eighty-two trillion, six hundred seventy-one billion, seven hundred seventy-one million, three hundred twenty-seven thousand, three hundred seventeen".