Demigods are slightly different to other supernatural creatures. Half-human, Half-god they don't quite fit under the title of Supernatural beings like many others do however their abilities make it difficult for them to survive in the outside world. They can face danger from both the humans around them and the gods themselves depending on who's son or daughter they are.
Given that they are half god, Demigod's inherit some of their parents powers. Powers differ from child to child depending on who their parent is however the distribution of power is entirely down to luck. For example one child of Apollo might be a skilled Archer and medic but a terrible musician, whilst another might be an amazing Piano player but if you let them within an inch of a patient would only make the ailment worse. Unlike gods, demigods are not immortal. They can be injured and killed by weapons and age at the same rate as a human does.