# Is 361 a prime number?

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

For 361, the answer is: No, 361 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 361) is as follows: 1, 19, 361.

For 361 to be a prime number, it would have been required that 361 has only two divisors, i.e., itself and 1.

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As a consequence:

For 361 to be a prime number, it would have been required that 361 has only two divisors, i.e., itself and 1.

However, 361 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 361 = 19 x 19, where 19 is a prime number.

### Is 361 a deficient number?

Yes, 361 is a deficient number, that is to say 361 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 361 without 361 itself (that is 1 + 19 = 20).