Document and Entity Information - shares	6 Months Ended
	Jun. 30, 2016	Aug. 12, 2016
Document And Entity Information
Entity Registrant Name	SPHERIX INC
Entity Central Index Key	0000012239
Document Type	10-Q
Trading Symbol	SPEX
Document Period End Date	Jun. 30, 2016
Amendment Flag	false
Current Fiscal Year End Date	--12-31
Entity a Well-known Seasoned Issuer	No
Entity a Voluntary Filer	No
Entity's Reporting Status Current	Yes
Entity Filer Category	Smaller Reporting Company
Entity Common Stock, Shares Outstanding		4,820,957
Document Fiscal Period Focus	Q2
Document Fiscal Year Focus	2016