A function is defined as $f(1) = 2017$ and $f(1) + f(2) + \cdots + f(n) = n^2 f(n)$ for all $n > 1$. Find $f(2017)$.

If you answer can be expressed as $\frac{a}{b}$, where $a$ and $b$ are coprime positive integers, compute $a+b$.

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