We investigate a left-right mirror model with SU(3)c×SU(2)L×SU(2)R×U(1)Y and a discrete Z2 symmetry, which introduces mirror fields that are copies of the standard model fields. The mirror fields have the opposite chirality to their standard model counterpart fields. We also introduce singlet scalars as dark matter. The new interaction between dark matter, standard model fermions, and mirror fermions can account for dark matter abundance, charged lepton flavor violation, lepton anomalous magnetic moment, and flavor changing neutral current. We demonstrated that if we choose dark matter annihilation into muon as the dominant annihilation channel for leptophilic dark matter, both the observed dark matter abundance and the observed discrepancy between theory and experiment in the muon anomalous magnetic moment can be explained without contradicting the bound derived from charged lepton flavor violating processes. We briefly discuss how mirror fermions will be produced at the future linear collider, as mirror fermions can interact with neutral gauge bosons in this model. Finally, we discuss the lightest mirror neutrino decay mechanism, which will be highly abundant if stable.