We extend some results on almost Gorenstein affine monomial curves to the nearly Gorenstein case. In particular, we prove that the Cohen-Macaulay type of a nearly Gorenstein monomial curve in $\mathbb{ A}^4$ is at most $3$, answering a question of Stamate in this particular case. Moreover, we prove that, if $\mathcal C$ is a nearly Gorenstein affine monomial curve which is not Gorenstein and $n_1, \dots, n_{ \nu}$ are the minimal generators of the associated numerical semigroup, the elements of $\{ n_1, \dots, \widehat{ n_i}, \dots, n_{ \nu}\}$ are relatively coprime for every $i$.
Categories: math.AC