82002084 has 48 divisors (see below), whose sum is σ = 211413888. Its totient is φ = 24606208.

The previous prime is 82002073. The next prime is 82002103. The reversal of 82002084 is 48020028.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4047 + ... + 13430.

It is an arithmetic number, because the mean of its divisors is an integer number (4404456).

Almost surely, 2^82002084 is an apocalyptic number.

It is an amenable number.

82002084 is an abundant number, since it is smaller than the sum of its proper divisors (129411804).

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

82002084 is a wasteful number, since it uses less digits than its factorization.

82002084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17524 (or 17522 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 82002084 is about 9055.5002070565. The cubic root of 82002084 is about 434.4518289926.

The spelling of 82002084 in words is "eighty-two million, two thousand, eighty-four".