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According to my copy of Robert Foster's
Complete guide to Middle Earth Mthrandir is Sindarin elvish for 'Grey Pilgrim'. Which is one of the names the People of Middle Earth gave to Gandalf.
Gandalf is one of the Istari (5 beings sent to Middle Earth by the Valar (gods) to unite and counsel the Free Peoples in their struggles against Sauron). As Gandalf the Grey he was the second most powerful of the Order. Gandalf posesses Narya, the third of the Three Rings of the Elves and originally worn by Círdan (elven king), but given to Gandalf when he came to Middel Earth. Narya is the Ring of Fire (the other two rings are worn by Galadriel and Elrond).
The dwarves called him Tharkûn, the Haradrim Incánus, the Rohirrim Gandalf Greyhame. But his real name, given him in Valinor (the land of the Valar) in his youth, was Olórin.
Herko