82705167833 has 2 divisors, whose sum is σ = 82705167834. Its totient is φ = 82705167832.

The previous prime is 82705167817. The next prime is 82705167847. The reversal of 82705167833 is 33876150728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55388681104 + 27316486729 = 235348^2 + 165277^2 .

It is a cyclic number.

It is not a de Polignac number, because 82705167833 - 2⁴ = 82705167817 is a prime.

It is not a weakly prime, because it can be changed into another prime (82701167833) 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, 41352583916 + 41352583917.

It is an arithmetic number, because the mean of its divisors is an integer number (41352583917).

Almost surely, 2^82705167833 is an apocalyptic number.

It is an amenable number.

82705167833 is a deficient number, since it is larger than the sum of its proper divisors (1).

82705167833 is an equidigital number, since it uses as much as digits as its factorization.

82705167833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 50.

The spelling of 82705167833 in words is "eighty-two billion, seven hundred five million, one hundred sixty-seven thousand, eight hundred thirty-three".