Find all roots of the polynomial $f(x)=x^3-[1]_p$ in $\mathbb{Z}/1729\mathbb{Z}$

Problem is the same as in the title, Find roots of the polynomial $ f(x)=x^3-[1]_p$ in $ \mathbb{Z}/1729\mathbb{Z}$ . I am specifically asking only for someone to point me in the direction of the method required to solve this equation and find all of its values, and whether there is an algorithm to determine all 27 of them.