This has been discussed a few times in the past and if I remember correctly, the conclusion was that there was very little danger of being harmed by radioactivity. However, while looking for something else, I came across this site and read the following ...
... Can anyome explain what these numbers mean?... Tritium (heavy hydrogen with two neutrons) is radioactive, emitting beta particles with a low energy of 18 keV, and having a 12 year half life. Placing place one of the sights on a pancake GM detector. The readings went from 55 CPM background to about 210 CM. Then removing the actual glass tube (with the tritium and phosphors) from the plastic holder, and the reading jumped to about 690 CPM. I suspect that the betas are hitting the glass, and creating x-rays, with a peak energy of 18 keV. The plastic absorbs most, but not all, of them.