82005052 has 18 divisors (see below), whose sum is σ = 145714632. Its totient is φ = 40381704.

The previous prime is 82005041. The next prime is 82005089. The reversal of 82005052 is 25050028.

82005052 is nontrivially palindromic in base 8.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15673 + ... + 20239.

Almost surely, 2^82005052 is an apocalyptic number.

It is an amenable number.

82005052 is a deficient number, since it is larger than the sum of its proper divisors (63709580).

82005052 is a wasteful number, since it uses less digits than its factorization.

82005052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 82005052 is about 9055.6640838759. The cubic root of 82005052 is about 434.4570704751.

The spelling of 82005052 in words is "eighty-two million, five thousand, fifty-two".