17109 has 6 divisors (see below), whose sum is σ = 24726. Its totient is φ = 11400.

The previous prime is 17107. The next prime is 17117. The reversal of 17109 is 90171.

17109 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 6084 = 105^2 + 78^2 .

It is not a de Polignac number, because 17109 - 2¹ = 17107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17091 and 17100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17107) 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 5 ways as a sum of consecutive naturals, for example, 942 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (4121).

2¹⁷¹⁰⁹ is an apocalyptic number.

It is an amenable number.

17109 is a deficient number, since it is larger than the sum of its proper divisors (7617).

17109 is a wasteful number, since it uses less digits than its factorization.

17109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 17109 is about 130.8013761395. The cubic root of 17109 is about 25.7676537125.

The spelling of 17109 in words is "seventeen thousand, one hundred nine".