Arithmetic can be written as two different products of prime numbers.
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At the simple level: Arithmetic. More complex level: Number theory. But NOT numerology which is not a science but superstition.
The history of arithmetic progression started with Euler. Later is was refined by Dirichlet which led to his theory of arithmetic progression.
The arithmetic mean of a single number, such as 1784298281, is the number itself.
The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.
The arithmetic mean of one number, such as 104410231017 is still simply that number.