82806282 has 72 divisors (see below), whose sum is σ = 196638624. Its totient is φ = 25170912.

The previous prime is 82806257. The next prime is 82806289. The reversal of 82806282 is 28260828.

82806282 is a `hidden beast` number, since 8 + 28 + 0 + 628 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (82806289) 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 35 ways as a sum of consecutive naturals, for example, 495763 + ... + 495929.

It is an arithmetic number, because the mean of its divisors is an integer number (2731092).

Almost surely, 2^82806282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82806282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98319312).

82806282 is an abundant number, since it is smaller than the sum of its proper divisors (113832342).

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

82806282 is a wasteful number, since it uses less digits than its factorization.

82806282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82806282 is about 9099.7957119927. The cubic root of 82806282 is about 435.8674406935.

The spelling of 82806282 in words is "eighty-two million, eight hundred six thousand, two hundred eighty-two".