82005707 has 8 divisors (see below), whose sum is σ = 96952800. Its totient is φ = 67866624.

The previous prime is 82005701. The next prime is 82005709. The reversal of 82005707 is 70750028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82005707 - 2¹⁶ = 81940171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 82005707.

It is not an unprimeable number, because it can be changed into a prime (82005701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201782 + ... + 202187.

It is an arithmetic number, because the mean of its divisors is an integer number (12119100).

Almost surely, 2^82005707 is an apocalyptic number.

82005707 is a deficient number, since it is larger than the sum of its proper divisors (14947093).

82005707 is a wasteful number, since it uses less digits than its factorization.

82005707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404005.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 82005707 is about 9055.7002490144. The cubic root of 82005707 is about 434.4582271869.

The spelling of 82005707 in words is "eighty-two million, five thousand, seven hundred seven".