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 form a prime number. [Capelle]