82005804966 has 32 divisors (see below), whose sum is σ = 165321904608. Its totient is φ = 27117159680.

The previous prime is 82005804961. The next prime is 82005804983. The reversal of 82005804966 is 66940850028.

It is a happy number.

It is a super-2 number, since 2×82005804966² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005804961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193836 + ... + 1260656.

It is an arithmetic number, because the mean of its divisors is an integer number (5166309519).

Almost surely, 2^82005804966 is an apocalyptic number.

82005804966 is an abundant number, since it is smaller than the sum of its proper divisors (83316099642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82005804966 is a wasteful number, since it uses less digits than its factorization.

82005804966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68456.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 82005804966 in words is "eighty-two billion, five million, eight hundred four thousand, nine hundred sixty-six".