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]
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.
(There is one curio for this number that has not yet been approved by an editor.)