Pedantic Pete here:
• The centigrade is capitalized when used after a number. There is also a singular glyph for the entire degree-centigrade convention: ℃.
• There are also superscript numerical characters to use with volumes, without having to use formatting: m³.
The use of unit characters in Unicode is not recommended by the consortium, they mostly exist for compatibility with Asian encodings. The recommendation is to use the Latin letter and the degree sign.
See page 758 of the Chapter 22 for the Unicode 9.0 standard:
https://www.unicode.org/versions/Unicode9.0.0/ch22.pdf