82782028729 has 2 divisors, whose sum is σ = 82782028730. Its totient is φ = 82782028728.

The previous prime is 82782028709. The next prime is 82782028781. The reversal of 82782028729 is 92782028728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82771290000 + 10738729 = 287700^2 + 3277^2 .

It is a cyclic number.

It is not a de Polignac number, because 82782028729 - 2¹¹ = 82782026681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82782028729.

It is not a weakly prime, because it can be changed into another prime (82782028709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41391014364 + 41391014365.

It is an arithmetic number, because the mean of its divisors is an integer number (41391014365).

Almost surely, 2^82782028729 is an apocalyptic number.

It is an amenable number.

82782028729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82782028729 is an equidigital number, since it uses as much as digits as its factorization.

82782028729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3612672, while the sum is 55.

Subtracting 82782028729 from its reverse (92782028728), we obtain a palindrome (9999999999).

The spelling of 82782028729 in words is "eighty-two billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred twenty-nine".