82517 has 8 divisors (see below), whose sum is σ = 89760. Its totient is φ = 75600.

The previous prime is 82507. The next prime is 82529. The reversal of 82517 is 71528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82517 - 2⁸ = 82261 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82492 and 82501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82517.

It is not an unprimeable number, because it can be changed into a prime (82507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 767 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (11220).

2⁸²⁵¹⁷ is an apocalyptic number.

It is an amenable number.

82517 is a deficient number, since it is larger than the sum of its proper divisors (7243).

82517 is a wasteful number, since it uses less digits than its factorization.

82517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 560, while the sum is 23.

The square root of 82517 is about 287.2577240041. The cubic root of 82517 is about 43.5359283917.

The spelling of 82517 in words is "eighty-two thousand, five hundred seventeen".