82017107729 has 2 divisors, whose sum is σ = 82017107730. Its totient is φ = 82017107728.

The previous prime is 82017107707. The next prime is 82017107773. The reversal of 82017107729 is 92770171028.

It is a happy number.

It is an a-pointer prime, because the next prime (82017107773) can be obtained adding 82017107729 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71421493504 + 10595614225 = 267248^2 + 102935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82017107729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82017107729.

It is not a weakly prime, because it can be changed into another prime (82017109729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41008553864 + 41008553865.

It is an arithmetic number, because the mean of its divisors is an integer number (41008553865).

Almost surely, 2^82017107729 is an apocalyptic number.

It is an amenable number.

82017107729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82017107729 is an equidigital number, since it uses as much as digits as its factorization.

82017107729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98784, while the sum is 44.

The spelling of 82017107729 in words is "eighty-two billion, seventeen million, one hundred seven thousand, seven hundred twenty-nine".