# Is 567 a prime number?

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

For 567, the answer is: No, 567 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 567) is as follows: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567.

For 567 to be a prime number, it would have been required that 567 has only two divisors, i.e., itself and 1.

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As a consequence:

- 567 is a multiple of 1
- 567 is a multiple of 3
- 567 is a multiple of 7
- 567 is a multiple of 9
- 567 is a multiple of 21
- 567 is a multiple of 27
- 567 is a multiple of 63
- 567 is a multiple of 81
- 567 is a multiple of 189

For 567 to be a prime number, it would have been required that 567 has only two divisors, i.e., itself and 1.

### Is 567 a deficient number?

Yes, 567 is a deficient number, that is to say 567 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 567 without 567 itself (that is 1 + 3 + 7 + 9 + 21 + 27 + 63 + 81 + 189 = 401).