82005765 has 16 divisors (see below), whose sum is σ = 135734400. Its totient is φ = 42228032.

The previous prime is 82005733. The next prime is 82005769. The reversal of 82005765 is 56750028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82005765 - 2⁵ = 82005733 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93825 + ... + 94694.

It is an arithmetic number, because the mean of its divisors is an integer number (8483400).

Almost surely, 2^82005765 is an apocalyptic number.

It is an amenable number.

82005765 is a deficient number, since it is larger than the sum of its proper divisors (53728635).

82005765 is a wasteful number, since it uses less digits than its factorization.

82005765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188556.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 82005765 is about 9055.7034514167. The cubic root of 82005765 is about 434.4583296130.

The spelling of 82005765 in words is "eighty-two million, five thousand, seven hundred sixty-five".