17082 has 24 divisors (see below), whose sum is σ = 40404. Its totient is φ = 5184.

The previous prime is 17077. The next prime is 17093. The reversal of 17082 is 28071.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 441 = 129^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 17082.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 198 + ... + 270.

2¹⁷⁰⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202).

17082 is an abundant number, since it is smaller than the sum of its proper divisors (23322).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17082 is a wasteful number, since it uses less digits than its factorization.

17082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 17082 is about 130.6981254648. The cubic root of 17082 is about 25.7540917870.

17082 divided by its sum of digits (18) gives a palindrome (949).

It can be divided in two parts, 170 and 82, that added together give a palindrome (252).

The spelling of 17082 in words is "seventeen thousand, eighty-two".