82729143817 has 2 divisors, whose sum is σ = 82729143818. Its totient is φ = 82729143816.

The previous prime is 82729143781. The next prime is 82729143823. The reversal of 82729143817 is 71834192728.

Together with previous prime (82729143781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82233591696 + 495552121 = 286764^2 + 22261^2 .

It is a cyclic number.

It is not a de Polignac number, because 82729143817 - 2¹⁹ = 82728619529 is a prime.

It is a super-2 number, since 2×82729143817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82729143017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41364571908 + 41364571909.

It is an arithmetic number, because the mean of its divisors is an integer number (41364571909).

Almost surely, 2^82729143817 is an apocalyptic number.

It is an amenable number.

82729143817 is a deficient number, since it is larger than the sum of its proper divisors (1).

82729143817 is an equidigital number, since it uses as much as digits as its factorization.

82729143817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1354752, while the sum is 52.

The spelling of 82729143817 in words is "eighty-two billion, seven hundred twenty-nine million, one hundred forty-three thousand, eight hundred seventeen".