LOS ANGELES

John Hillerman, who played stuffed-shirt Higgins to Tom Selleck’s freewheeling detective Thomas Magnum in the 1980s TV series “Magnum, P.I.” has died, his nephew said Thursday. Hillerman was 84.

Hillerman, who had been in declining health, died Thursday of natural causes at his home in Houston, nephew Chris Tritico said.

Besides playing manager of the Hawaiian estate that Magnum used as home base, Hillerman was known for his 1970s roles as arrogant radio show detective Simon Brimmer on the “Ellery Queen” series and the difficult boss on the sitcom “One Day at a Time.”

When Hillerman decided to retire about 17 years ago, the actor born in Denison, Texas, returned to his native state and was content leaving Hollywood behind, said his nephew. He remembered his uncle, an Air Force veteran, fondly.

“He had an outstanding sense of humor and was one of the most well-read people I ever met. You couldn’t play Scrabble with him,” Tritico said.

As for that quasi-British accent that Hillerman used on “Magnum” and elsewhere, his nephew said that was honed during several decades of playing varied roles on the New York stage before he turned to TV and movies.