The KM3NeT neutrino telescope is a next-generation research infrastructure currently under construction in the Mediterranean Sea. It consists of two deep-sea detectors: ORCA, near Toulon, France, and ARCA, off the coast of Sicily, Italy. ORCA is designed for precision study of atmospheric neutrinos in the GeV range, whereas ARCA aims to detect and study cosmic neutrinos of higher energies. KM3NeT offers an infrastructure in the Northern Hemisphere, with a good view towards the Galactic Center. The first detection units of ORCA and ARCA are taking data. In these proceedings a selection of recent results will be presented, with emphasis on searches for astrophysical neutrinos. KM3NeT has recently reported the detection of a cosmic neutrino with an energy exceeding 200 PeV, and its detection and interpretation are discussed. Results from KM3NeT searches for neutrino point sources and for a diffuse flux, from the full sky as well as from the galactic plane, are shown. We discuss generation and treatment of real-time alerts towards and from external sources for transient events. We include an outlook on detector completion and on the future scientific capabilities of the full infrastructure.