This paper presents the results of the proton irradiation of silicon photomulipliers (SiPMs) by mono-energetic 170 MeV protons with fluence up to 4.6\(\times\)10\(^{9}\) particles/cm\(^2\). In our work, three types of silicon photodetectors from Hamamatsu with areas 3\(\times\)3 mm\(^2\) and different subpixel sizes of 25\(\times\)25 \(\mu\)m\(^2\), 50\(\times\)50 \(\mu\)m\(^2\), and 75\(\times\)75 \(\mu\)m\(^2\) were used. The changes in the SiPM dark count rate (DCR) spectrum before and after irradiation in temperatures in the range of 20 \(^\circ\)C to -65 \(^\circ\)C are presented. The influence of the DCR changes on the energy resolution of the 662 keV gamma line from the \(^{137}\)Cs for a non-irradiated GAGG:Ce (1\(\%\)) scintillator is investigated. The time period of usability of the SiPM detector irradiated by protons in cosmic space was estimated.