167

This number is a prime.

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The smallest emirp whose index is also emirp, i.e. 167 is the 13th emirp. [Loungrides]

The only 3-digit prime p such that the product of first p odd numbers minus 2 is prime, i.e., 1*3*5*…*331*333-2. Note that there are also a single-digit prime (p=3) and a double-digit prime (p=37) with the same property. [Loungrides]

The smallest distinct-digit 3-digit emirp whose a digit is equal to the sum of the other two. Note that there are two pairs of such emirps, i.e., (167, 761) and (347, 743). [Loungrides]