Hi!
A quick search only returned those tables so far: https://www.wikidata.org/wiki/Wikidata:List_of_properties/all mailto:wikidata@lists.wikimedia.org
Any formal representation would work: OWL, etc.
There's basic OWL with Wikibase ontology here: http://wikiba.se/ontology-1.0.owl The properties can be found in the general dump ( https://dumps.wikimedia.org/wikidatawiki/entities/ ) described as outlined here:
https://www.mediawiki.org/wiki/Wikibase/Indexing/RDF_Dump_Format#Properties
There's no separate file, RDF, OWL or otherwise, with only properties, AFAIK.