If you are reading core temp, that should be fine. Intel only lists the tcase temp for that processor, and list it at 67.4C
As I understand it, Intel embeds a thermocouple under the heat spreader between the cores and uses this tcase temp in their testing. The core temp that you are actually reading would normally run even a bit higher because it is read at a thermocouple junction within the core(s) itself. So, 62C core temp should be quite fine.