547
This number is a prime.

 
Prime Numbers: A Computational Perspective by Crandall and Pomerance (2002) contained exactly 547 pages. 
 
In the Disney movie The Black Hole, the crew of the Palomino escape from the parallel-universe Cygnus on Day 547. 
 
The number of primes between 6! and 7! is itself prime. 547
is the smallest odd prime to enumerate the primes between
n! and (n + 1)! for any n.  [Post]
 
f(547!) + 547^3 is a prime number, where f(n!) gives the
first n digits of n!. 547 is the smallest integer with this
characteristic, and it is prime.  [Zonta]
 
The largest known prime number n such that the initial n
digits in decimal portion of π form a prime number.  [Capelle]
 
The sum of the first 547 squares (54705470) contains 547
twice. This is the second positive integer with this
property, with 5 being the first.  [Gaydos]
 
There were 547 live broadcasts of "Watch Mr. Wizard" by the time the show was canceled in 1965. 
 
The largest prime concatenated from the only three single digits d for which d!+1 are perfect squares, i.e., 5!+1 = 11^2, 4!+1 = 5^2 and 7!+1 = 71^2.  [Loungrides]
 
The Hubble Space Telescope orbits about 547 kilometers above Earth.  [Harrison]
 
Benedict of Nursia (died A.D. 547) refers to Prime
by using the term "primae tempore" ("the time of First
Hour") for Prime.  [Jessee]