The discussion on the relationship between Hume and utilitarianism has been lively for many decades. To contribute to this discussion, I identify four main features of a utilitarian view: a) a consequentialist theory of the right, b) a hedonist theory of the good, c) some kind of impartiality in evaluating consequences, and d) an essentially prescriptive, rather than merely explicative, attitude. I then show that, first, although he borrowed the word 'utility' from Hume, Bentham did not consider Hume as a utilitarian and, second, that Hume's ethics does not really endorse any of the four main tenets of utilitarianism, either in the Treatise or in the Enquiry. I thus conclude that, notwithstanding recent interpretations to the contrary, Hume was no utilitarian in any substantial sense.