How do you call a function that is the gradient of a function?

Question

Let us consider $f: \mathbb{R}^n \rightarrow \mathbb{R}^n$ such that there exists a real-valued function $F: \mathbb{R}^n \rightarrow \mathbb{R}$ that satisfies $\nabla F(x) =f(x)$. How would you call such a function?

Furthermore if $F$ is convex, is there a name for this type of function $f$?