# Is 827 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 827, the answer is: yes, 827 is a prime number because it has only two distinct divisors: 1 and itself (827).

As a consequence, 827 is only a multiple of 1 and 827.

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Since 827 is a prime number, 827 is also a deficient number, that is to say 827 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 827 without 827 itself (that is 1, by definition!).