Kaon physics with the KLOE detector

In this paper we discuss the recent finalized analyses by the KLOE experiment at DA$Phi$NE: the CPT and Lorentz invariance test with entangled $K^0 bar{K}^0$ pairs, and the precision measurement of the branching fraction of the decay ${ K^+} rightarrow pi^+pi^-pi^+(gamma)$. We also present the status of an ongoing analysis aiming to precisely measure the $K^{pm} $ mass.