# Is 95 a prime number?

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

For 95, the answer is: No, 95 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 95) is as follows: 1, 5, 19, 95.

For 95 to be a prime number, it would have been required that 95 has only two divisors, i.e., itself and 1.

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Actually, one can immediately see that 95 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors.
The last digit of 95 is 5, so it is divisible by 5 and is therefore *not* prime.

As a consequence:

For 95 to be a prime number, it would have been required that 95 has only two divisors, i.e., itself and 1.

However, 95 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 95 = 5 x 19, where 5 and 19 are both prime numbers.

### Is 95 a deficient number?

Yes, 95 is a deficient number, that is to say 95 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 95 without 95 itself (that is 1 + 5 + 19 = 25).