82005292 has 24 divisors (see below), whose sum is σ = 155939840. Its totient is φ = 37590480.

The previous prime is 82005269. The next prime is 82005299. The reversal of 82005292 is 29250028.

It is a self number, because there is not a number n which added to its sum of digits gives 82005292.

It is not an unprimeable number, because it can be changed into a prime (82005299) 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 7 ways as a sum of consecutive naturals, for example, 15048 + ... + 19759.

Almost surely, 2^82005292 is an apocalyptic number.

It is an amenable number.

82005292 is a deficient number, since it is larger than the sum of its proper divisors (73934548).

82005292 is a wasteful number, since it uses less digits than its factorization.

82005292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34861 (or 34859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 82005292 is about 9055.6773352411. The cubic root of 82005292 is about 434.4574943092.

The spelling of 82005292 in words is "eighty-two million, five thousand, two hundred ninety-two".