# Is 166 a prime number?

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

For 166, the answer is: No, 166 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 166) is as follows: 1, 2, 83, 166.

For 166 to be a prime number, it would have been required that 166 has only two divisors, i.e., itself and 1.

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As a consequence:

For 166 to be a prime number, it would have been required that 166 has only two divisors, i.e., itself and 1.

However, 166 is a **semiprime** (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 166 = 2 x 83, where 2 and 83 are both prime numbers.

### Is 166 a deficient number?

Yes, 166 is a deficient number, that is to say 166 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 166 without 166 itself (that is 1 + 2 + 83 = 86).