Let G be a finite group and let φ(G)=|{a ∈ G | o(a)=exp(G)}|, where o(a) denotes the order of a in G and exp(G) denotes the exponent of G. We say that G is a perfect totient group (or a PT-group, in short) if \(|G|=\sum_{i=1}^{c_G}\varphi^i(G)\), where \(c_G=\min\{m\in\mathbb{N}^*\mid \varphi^m(G)=1\}\). In this note, several results concerning PT-groups are presented.