In Greek mythology, Eurymachus (/jʊˈrɪməkəs/; Ancient Greek: Εὐρύμαχος Eurúmakhos) was an Ithacan nobleman and one of the two leading suitors of Penelope, the other being Antinous.
Eurymachus was the son of Polybus, also a suitor of Penelope.
In Homer’s Odyssey, Eurymachus, along with the majority of his fellow suitors, shows no regard for the Greek custom of xenia or guest-friend hospitality; he is arrogant, disrespectful, and consumes food and drink without the slightest reciprocation.
Eurymachus is noteworthy for being manipulative and deceitful, at one point even fooling Penelope into thinking him without ill-intent.
He claims in his childhood Odysseus befriended him often, and tells Penelope that makes Telemachus 'my dearest friend on Earth' and he will protect him, though 'death for Telemachus was in his heart'.