82123841729 has 2 divisors, whose sum is σ = 82123841730. Its totient is φ = 82123841728.

The previous prime is 82123841713. The next prime is 82123841743. The reversal of 82123841729 is 92714832128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78657811600 + 3466030129 = 280460^2 + 58873^2 .

It is a cyclic number.

It is not a de Polignac number, because 82123841729 - 2⁴ = 82123841713 is a prime.

It is not a weakly prime, because it can be changed into another prime (82123844729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41061920864 + 41061920865.

It is an arithmetic number, because the mean of its divisors is an integer number (41061920865).

Almost surely, 2^82123841729 is an apocalyptic number.

It is an amenable number.

82123841729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82123841729 is an equidigital number, since it uses as much as digits as its factorization.

82123841729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 387072, while the sum is 47.

The spelling of 82123841729 in words is "eighty-two billion, one hundred twenty-three million, eight hundred forty-one thousand, seven hundred twenty-nine".