82105983 has 12 divisors (see below), whose sum is σ = 118886040. Its totient is φ = 54604176.

The previous prime is 82105981. The next prime is 82105987. The reversal of 82105983 is 38950128.

It is not a de Polignac number, because 82105983 - 2¹ = 82105981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82105981) 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 11 ways as a sum of consecutive naturals, for example, 7116 + ... + 14657.

It is an arithmetic number, because the mean of its divisors is an integer number (9907170).

Almost surely, 2^82105983 is an apocalyptic number.

82105983 is a deficient number, since it is larger than the sum of its proper divisors (36780057).

82105983 is a wasteful number, since it uses less digits than its factorization.

82105983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22198 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 82105983 is about 9061.2351807025. The cubic root of 82105983 is about 434.6352392086.

The spelling of 82105983 in words is "eighty-two million, one hundred five thousand, nine hundred eighty-three".