82004517 has 48 divisors (see below), whose sum is σ = 141107200. Its totient is φ = 44906400.

The previous prime is 82004509. The next prime is 82004521. The reversal of 82004517 is 71540028.

82004517 is a `hidden beast` number, since 8 + 200 + 451 + 7 = 666.

It is not a de Polignac number, because 82004517 - 2³ = 82004509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82004567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388542 + ... + 388752.

Almost surely, 2^82004517 is an apocalyptic number.

It is an amenable number.

82004517 is a deficient number, since it is larger than the sum of its proper divisors (59102683).

82004517 is a wasteful number, since it uses less digits than its factorization.

82004517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82004517 is about 9055.6345443044. The cubic root of 82004517 is about 434.4561256755.

The spelling of 82004517 in words is "eighty-two million, four thousand, five hundred seventeen".