The center of the sun is the hottest part (at around 15 million Kelvins, or 27 million degrees Fahrenheit). The temperature then drops to 5,800 K (10,000 degrees F) at the visible surface, although the corona (the part just above the surface, where solar flares are), can get much hotter (2 million K, or 3.6 million degrees F).
I found this information and tons of really neat stuff (pictures, movies, etc.) at http://sohowww.nascom.nasa.gov/ , which is the homepage for NASA's SOHO (SOlar and Heliospheric Observatory) project. For a good intro, click on "Classroom" (on the left hand side, under the "RESOURCES" heading), and then on the section for "The Sun 101" course.
Answered by:
Gregory Ogin, Physics Undergraduate Student, UST, St. Paul, MN
'The mathematician's patterns, like the painter's or the poets, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.'