82373146729 has 2 divisors, whose sum is σ = 82373146730. Its totient is φ = 82373146728.

The previous prime is 82373146651. The next prime is 82373146747. The reversal of 82373146729 is 92764137328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77979445504 + 4393701225 = 279248^2 + 66285^2 .

It is a cyclic number.

It is not a de Polignac number, because 82373146729 - 2⁷ = 82373146601 is a prime.

It is not a weakly prime, because it can be changed into another prime (82373146769) 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, 41186573364 + 41186573365.

It is an arithmetic number, because the mean of its divisors is an integer number (41186573365).

Almost surely, 2^82373146729 is an apocalyptic number.

It is an amenable number.

82373146729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82373146729 is an equidigital number, since it uses as much as digits as its factorization.

82373146729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3048192, while the sum is 52.

The spelling of 82373146729 in words is "eighty-two billion, three hundred seventy-three million, one hundred forty-six thousand, seven hundred twenty-nine".