2 * 34 + 5 is prime. [Gundrum]
Indonesia has 167 volcanoes.
(296/167)2 is closer to  than Ptolomy's 377/120. Note that 167 is prime. [Moody]
In 2003, outgoing Governor George Ryan of Illinois commuted the death sentences of 167 death row inmates two days before leaving office, calling the death penalty process "arbitrary and capricious, and therefore immoral."
There are two 167 digit numbers consisting of only two distinct digits which are of the form p*2^167 with p prime. They correspond to the numbers containing only the digits 6 & 7, and 8 & 9. [Rupinski]
The number of prime quadruples, counting (3, 5, 7, 11), below one million. (A prime quadruple is four consecutive primes, such that the first and the last differ by 8. It has the form (p, p+2, p+6, p+8) for p > 3).
All highly cototient numbers greater than 167 are congruent
to 9 (mod 10).
Wieferich proved that 167 is the only prime requiring exactly eight cubes to express it. [Rupinski]
At the start of backgammon each player has a pip count of 167. [La Haye]
The smallest number whose fourth power begins with four identical
digits.
The least prime factor of the smallest vampire number that has prime fangs of the same length (117067 = 167 * 701). A vampire number is an integer which can be written as the product of two factors (its "fangs") whose digits together are a rearrangement of the original number.
The smallest multidigit prime such that the product of
digits is equal to the number of digits times the sum of
the digits, i.e., 1 * 6 * 7 = 3(1 + 6 + 7).
Bangkok officially has the longest place name on the
planet. When transliterated into English, its full Thai
name rambles on for 167 letters.
It is conjectured that every positive integer may be
written as the sum of seven nonnegative cubes except these
seventeen: {15, 22, 23, 50, 114, 167, 175, 186, 212, 231,
238, 239, 303, 364, 420, 428, 454}. This conjecture has
been tested to 1034 and proven for numbers
divisible by four. [Caldwell]
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