Andurs watches and maintains The Hall of the Dead in Whiterun, and is a devout follower of Arkay. As such, he is responsible for preparing the bodies for the afterlife.
On the 19th of Second Seed in 4E 201, Andurs invited Runil, a Altmer Priest of Arkay in Falkreath, for a visit. They shared some words for nine days until Runil finally left Whiterrun on the 28th of Second Seed.
He asks the Dragonborn to recover his amulet so he can rebuke the corpses that have risen in the Catacombs. Once completed, he gives the Dragonborn 15 . Even after the Dragonborn has given Andurs his amulet, the dead will continue to rise in the crypts.
To obtain the maximum reward for this quest, retrieve the amulet, return it to him and then kill him. Since he is alone, it is quite easy to do with no consequences.