Any, but in proportion to how close the contact is. People tend to ascribe particular virtues to divinity—I think here of patience, acceptance, compassion, humility, etc., though I'll grant such a list says as much about me as about the divine!—and I think it's reasonable to expect those who are in close contact with the divine to exhibit these in a far greater degree than those who are in modest contact, and so on.

For standout examples of very close contact with the divine, I think of the likes of Moses, Empedocles, Plotinus, Saint Paul, Jeanne d'Arc, Hakuin, Swedenborg, some fraction of near death experiencers, etc. These are people who undergo a radical change in character, have a "mission" in life, are generally kept apart from the normal ebb and flow of material life, possess an overwhelming serenity and capacity for compassion, etc. These are the prototype of what I'm thinking of as a "saint," here.

If we take the Platonists and the Christians at their word and assume prayer is carried to the divine through intermediaries (dæmons or angels, respectively), then it's still a contact with the divine but to a much lesser degree. I'd expect one who honestly and sincerely prays to exhibit some "saintly" characteristics but not be a full-blown "saint:" perhaps they are more virtuous than average, but don't have the more radical characteristics.

And let me finally state that I'm not trying to be dogmatic or elitist here! I'm trying to get at the same thing jprussell was when he quoted Jesus' Parable of the Tree and Its Fruit. (I should also note my examples are all mystical in character; that's simply because those are what are familiar to me, as I have no experience of the magical side of things. I apologize if I come across as denigrating of those traditions!)