  A numerical semigroup $S$ is cyclotomic if its semigroup polynomial $P_S$ is
a product of cyclotomic polynomials. The number of irreducible factors of $P_S$
(with multiplicity) is the polynomial length $\ell(S)$ of $S.$ We show that a
cyclotomic numerical semigroup is complete intersection if $\ell(S)\le 2$. This
establishes a particular case of a conjecture of Ciolan, Garc\'{i}a-S\'{a}nchez
and Moree (2016) claiming that every cyclotomic numerical semigroup is complete
intersection. In addition, we investigate the relation between $\ell(S)$ and
the embedding dimension of $S.$
