82706217121683 has 16 divisors (see below), whose sum is σ = 123279432935040. Its totient is φ = 54799211341512.

The previous prime is 82706217121639. The next prime is 82706217121711. The reversal of 82706217121683 is 38612171260728.

82706217121683 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 621 + 7 + 1 + 2 + 1 + 6 + 8 + 3 = 666.

It is not a de Polignac number, because 82706217121683 - 2²⁸ = 82705948686227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82706217121603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9396293841 + ... + 9396302642.

It is an arithmetic number, because the mean of its divisors is an integer number (7704964558440).

Almost surely, 2^{82706217121683} is an apocalyptic number.

82706217121683 is a deficient number, since it is larger than the sum of its proper divisors (40573215813357).

82706217121683 is a wasteful number, since it uses less digits than its factorization.

82706217121683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792596655 (or 18792596649 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82706217121683 in words is "eighty-two trillion, seven hundred six billion, two hundred seventeen million, one hundred twenty-one thousand, six hundred eighty-three".