82584324305 has 64 divisors (see below), whose sum is σ = 118214111232. Its totient is φ = 54208569600.

The previous prime is 82584324289. The next prime is 82584324343. The reversal of 82584324305 is 50342348528.

It is a happy number.

It is not a de Polignac number, because 82584324305 - 2⁴ = 82584324289 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20921342 + ... + 20925288.

It is an arithmetic number, because the mean of its divisors is an integer number (1847095488).

Almost surely, 2^82584324305 is an apocalyptic number.

It is an amenable number.

82584324305 is a deficient number, since it is larger than the sum of its proper divisors (35629786927).

82584324305 is a wasteful number, since it uses less digits than its factorization.

82584324305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254.

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 82584324305 in words is "eighty-two billion, five hundred eighty-four million, three hundred twenty-four thousand, three hundred five".