82104417 has 12 divisors (see below), whose sum is σ = 119705040. Its totient is φ = 54224088.

The previous prime is 82104409. The next prime is 82104419. The reversal of 82104417 is 71440128.

82104417 is a `hidden beast` number, since 8 + 210 + 441 + 7 = 666.

It is not a de Polignac number, because 82104417 - 2³ = 82104409 is a prime.

It is a super-2 number, since 2×82104417² = 13482270581819778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82104419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41667 + ... + 43592.

It is an arithmetic number, because the mean of its divisors is an integer number (9975420).

Almost surely, 2^82104417 is an apocalyptic number.

It is an amenable number.

82104417 is a deficient number, since it is larger than the sum of its proper divisors (37600623).

82104417 is a wasteful number, since it uses less digits than its factorization.

82104417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85372 (or 85369 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82104417 is about 9061.1487682302. The cubic root of 82104417 is about 434.6324759381.

The spelling of 82104417 in words is "eighty-two million, one hundred four thousand, four hundred seventeen".