82145634029 has 2 divisors, whose sum is σ = 82145634030. Its totient is φ = 82145634028.

The previous prime is 82145634017. The next prime is 82145634089. The reversal of 82145634029 is 92043654128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82069071529 + 76562500 = 286477^2 + 8750^2 .

It is a cyclic number.

It is not a de Polignac number, because 82145634029 - 2¹⁶ = 82145568493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82145634089) 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, 41072817014 + 41072817015.

It is an arithmetic number, because the mean of its divisors is an integer number (41072817015).

Almost surely, 2^82145634029 is an apocalyptic number.

It is an amenable number.

82145634029 is a deficient number, since it is larger than the sum of its proper divisors (1).

82145634029 is an equidigital number, since it uses as much as digits as its factorization.

82145634029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 82145634029 in words is "eighty-two billion, one hundred forty-five million, six hundred thirty-four thousand, twenty-nine".