82384008041 has 2 divisors, whose sum is σ = 82384008042. Its totient is φ = 82384008040.

The previous prime is 82384008029. The next prime is 82384008061. The reversal of 82384008041 is 14080048328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81933337600 + 450670441 = 286240^2 + 21229^2 .

It is a cyclic number.

It is not a de Polignac number, because 82384008041 - 2⁶ = 82384007977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82384007986 and 82384008004.

It is not a weakly prime, because it can be changed into another prime (82384008001) 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, 41192004020 + 41192004021.

It is an arithmetic number, because the mean of its divisors is an integer number (41192004021).

Almost surely, 2^82384008041 is an apocalyptic number.

It is an amenable number.

82384008041 is a deficient number, since it is larger than the sum of its proper divisors (1).

82384008041 is an equidigital number, since it uses as much as digits as its factorization.

82384008041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 82384008041 in words is "eighty-two billion, three hundred eighty-four million, eight thousand, forty-one".