82107931971 has 32 divisors (see below), whose sum is σ = 123043556160. Its totient is φ = 48353808384.

The previous prime is 82107931949. The next prime is 82107931991. The reversal of 82107931971 is 17913970128.

It is not a de Polignac number, because 82107931971 - 2²¹ = 82105834819 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82107931971.

It is not an unprimeable number, because it can be changed into a prime (82107931991) 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 in 31 ways as a sum of consecutive naturals, for example, 193426 + ... + 449031.

It is an arithmetic number, because the mean of its divisors is an integer number (3845111130).

Almost surely, 2^82107931971 is an apocalyptic number.

82107931971 is a deficient number, since it is larger than the sum of its proper divisors (40935624189).

82107931971 is a wasteful number, since it uses less digits than its factorization.

82107931971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642615.

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 82107931971 in words is "eighty-two billion, one hundred seven million, nine hundred thirty-one thousand, nine hundred seventy-one".