Electrical operation of room-temperature (RT) single dopant atom quantum dot (QD) transistors, based on phosphorous atoms isolated within nanoscale SiO2 tunnel barriers, is presented. In contrast to single dopant transistors in silicon, where the QD potential well is shallow and device operation limited to cryogenic temperature, here, a deep (~2 eV) potential well allows electron confinement at RT. Our transistors use ~10 nm size scale Si/SiO2/Si pointcontact tunnel junctions, defined by scanning probe lithography and geometric oxidation.'Coulomb diamond' charge stability plots are measured at 290 K, with QD addition energy ~0.3 eV. Theoretical simulation gives a QD size of similar order to the phosphorous atom separation ~2 nm. Extraction of energy states predicts an anharmonic QD potential, fitted using a Morse oscillator-like potential. The results extend single-atom transistor operation to RT, enable tunnelling spectroscopy of impurity atoms in insulators, and allow the energy landscape for P atoms in SiO2 to be determined.