Most places I've submitted want short fiction to be between 500-1,800 words. I end up naturally writing between 1,300-1,500. It's best to read the writer's guidelines for each publication first.
My idea of a short fiction story is that it must also have a beginning, middle, and end which flows well and leads to a satisfying conclusion. In my recent searches I seem to find a lot of short fiction doesn't seem to do that and I'm not sure if it means the format of short fiction has changed while I haven't been paying attention, or if it's just a whole different genre all together? I've just begun market research again after a few years hiatus, so things definitely seem different this go round.