82107666 has 48 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 26308800.

The previous prime is 82107617. The next prime is 82107673. The reversal of 82107666 is 66670128.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82107666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51615 + ... + 53181.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^82107666 is an apocalyptic number.

82107666 is an abundant number, since it is smaller than the sum of its proper divisors (102815982).

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

82107666 is a wasteful number, since it uses less digits than its factorization.

82107666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82107666 is about 9061.3280483602. The cubic root of 82107666 is about 434.6382088911.

It can be divided in two parts, 8210 and 7666, that added together give a square (15876 = 126²).

The spelling of 82107666 in words is "eighty-two million, one hundred seven thousand, six hundred sixty-six".