82517105 has 24 divisors (see below), whose sum is σ = 110139264. Its totient is φ = 58858400.

The previous prime is 82517087. The next prime is 82517119. The reversal of 82517105 is 50171528.

It is not a de Polignac number, because 82517105 - 2⁸ = 82516849 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191240 + ... + 191670.

It is an arithmetic number, because the mean of its divisors is an integer number (4589136).

Almost surely, 2^82517105 is an apocalyptic number.

It is an amenable number.

82517105 is a deficient number, since it is larger than the sum of its proper divisors (27622159).

82517105 is a wasteful number, since it uses less digits than its factorization.

82517105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 82517105 is about 9083.8926127514. The cubic root of 82517105 is about 435.3594685771.

The spelling of 82517105 in words is "eighty-two million, five hundred seventeen thousand, one hundred five".