Then yes, it is a computer. I think a more natural way of speaking would be to say that it has a computer in it. We have to start with definition. To most people 'computer' means personal computer and even if thet think about supercomputer they see more powerful pc. If we however stick to the definition 'device that process data' than computer will have much broader meaning.
Computer computes data therefore any device that does it can be called computer.
I think a strong connotation of computer nowadays is that it is universal, ie can perform any computational task. A thermostat can be incredibly sophisticated but it will still only tell you when to turn on the heater. But a computer can do either of those things, or much more, so long as you give it instructions on how to do so. A computer used to mean a person that computed, eventually a person that computed using an adding machine. Many of these computers were women.