Murderer or psychopath?

At the ending of part one we are left guessing what the outcome will be for Meursault. In the beginning of part 2, Meusault is being questioned by the police. When being questioned he says that he believes everyone should eventually die, when talking about his mother. the look the interviewer had was the same as anyone, disgust. Meursault didn't understand why it made him uncomfortable but wanted to apologize to keep them on good terms. And throughout the prosecution the questions seem to focus more on Meursault's inability to have feeling towards his moms death and how he doesn't believe in god. Instead of focusing on the crime that was committed, focusing on the factors that may have a hand in it, it kind of hides the fact that he killed a person. With this the question is raised whether Meursault should be considered a psychopath or a murderer.