Classified

1. Arsham: divya desams formed by rishis. 
2. PowrAnikam: Those divya desams, which are regarded high in the purAnAs.
3. Svayam vyakhtha stalam or saithyam: formed by themselves 
4. Deivam: Those which were formed by brahma and other devas 
5. mAnavam: Those which were consecrated by adiyars and kings 
6. abhimAna stalams: largely enjoyed and praised by Acharya purshAs 

Any divine temple, irrespective of the above categories, if alwars had donemangalasasanams to the deity, is called as divya desam.