Dark matter and inflation represent two of the biggest open question in cosmology. Although they are generally thought of as distinct and unrelated phenomena, here I will ask whether they might be closely connected. In particular, I will describe a class of models in which a stable inflaton is produced as a thermal relic in the early universe and constitutes the dark matter. I will show that the annihilations of these inflatons can efficiently reheat the universe, and I will identify several examples of inflationary potentials within this scenario which can accommodate all cosmic microwave background observables. As a simple example, I will discuss a model in which inflaton annihilations that take place through a Higgs portal interaction, leading to encouraging prospects for future direct detection experiments.