How to say "strange" in English?

There is such a strange man running around in the world.

There is a mysterious man wandering around.

hair-raising

Perhaps the strangest place in the White House is the president's living room.

Perhaps the most mysterious place in the White House is the president's living area.

strange

In order to avoid revealing clues, the financial statements of some companies are often quite strange.

Their reluctance to do so has led to some strange annual reports.