82005252 has 24 divisors (see below), whose sum is σ = 218680896. Its totient is φ = 23430048.

The previous prime is 82005227. The next prime is 82005269. The reversal of 82005252 is 25250028.

It is a super-2 number, since 2×82005252² = 13449722711167008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488043 + ... + 488210.

It is an arithmetic number, because the mean of its divisors is an integer number (9111704).

Almost surely, 2^82005252 is an apocalyptic number.

It is an amenable number.

82005252 is an abundant number, since it is smaller than the sum of its proper divisors (136675644).

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

82005252 is a wasteful number, since it uses less digits than its factorization.

82005252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976267 (or 976265 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 82005252 is about 9055.6751266816. The cubic root of 82005252 is about 434.4574236702.

The spelling of 82005252 in words is "eighty-two million, five thousand, two hundred fifty-two".