82917 has 16 divisors (see below), whose sum is σ = 127680. Its totient is φ = 53136.

The previous prime is 82913. The next prime is 82939. The reversal of 82917 is 71928.

It is not a de Polignac number, because 82917 - 2² = 82913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 82917.

It is not an unprimeable number, because it can be changed into a prime (82913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁸²⁹¹⁷ is an apocalyptic number.

It is an amenable number.

82917 is a deficient number, since it is larger than the sum of its proper divisors (44763).

82917 is a wasteful number, since it uses less digits than its factorization.

82917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 82917 is about 287.9531211847. The cubic root of 82917 is about 43.6061616295.

Adding to 82917 its sum of digits (27), we get a square (82944 = 288²).

It can be divided in two parts, 82 and 917, that added together give a palindrome (999).

The spelling of 82917 in words is "eighty-two thousand, nine hundred seventeen".