The coldest city in the world is Oymyakon, Russia, population 472, and is 750 meters above sea level. It has an extreme arctic climate and is named after the Oymyakon River and is a candidate for the Pole of Cold.
The lowest recorded temperature for any permanently inhabited location on Earth was on February 6, 1933. It was -90 °F. Only Antarctica has recorded a lower temperature. It is never above freezing between October 25 and March 17. Summers can actually be quite lovely with an average temperature of 86 °F between June and August.