17116 has 12 divisors (see below), whose sum is σ = 32760. Its totient is φ = 7760.

The previous prime is 17107. The next prime is 17117. The reversal of 17116 is 61171.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 17116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17117) 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 3 ways as a sum of consecutive naturals, for example, 151 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

2¹⁷¹¹⁶ is an apocalyptic number.

It is an amenable number.

17116 is a deficient number, since it is larger than the sum of its proper divisors (15644).

17116 is a wasteful number, since it uses less digits than its factorization.

17116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 402 counting only the distinct ones).

The product of its digits is 42, while the sum is 16.

The square root of 17116 is about 130.8281315314. The cubic root of 17116 is about 25.7711674379.

Adding to 17116 its reverse (61171), we get a palindrome (78287).

It can be divided in two parts, 1 and 7116, that added together give a palindrome (7117).

The spelling of 17116 in words is "seventeen thousand, one hundred sixteen".