Jim Carey thinks so. In the Wall Street Journal, Carl Bialik seems amused but unconvinced.
...In the film, Mr. Carrey plays a man "spiraling into a dark obsession with the number 23," after reading a book on the number's ominous properties. (Among the "evidence:" Nirvana frontman Kurt Cobain was born in 1967 and died in 1994 -- the digits in both years add up to 23. Caesar was stabbed 23 times. Even the date of the Sept. 11, 2001, terror attacks has a connection -- 9+11+2+0+0+1=23. And so on.)
The movie -- like my proposed sequel -- shows how just about any number can seem to have all sorts of eerie properties if you look hard enough.
Can I play along? The months and dates of my wife's birth and my birth add up to...you guessed it...23. Another? Take our house number, add the digits together. Then add the digits of the result. Add the final result to the sum of the digits in our ZIP code and, yes, it is 23. In fact, if I looked around I would find a few other things that could add up to 23, or 24, or 25, or....
So what? It's nothing. Just parlor tricks and nothing more. Choose a low number--a number that could be easily obtained by summing up a short series of single digit numbers. Then go looking for sets of digits that add up to that number. You'll find them without much difficulty. The mistake people then make is to attribute some significance to that particular set of digits ex post.
For example, if you go to a shopping mall and meet an old acquaintance whom you haven't seen in years, you may attach some significance to that, as in, "Wow, what a coincidence that he and I would be in the same place at the same time. It must mean something." But the chances are that if you to to the mall regularly and you have a fairly large circle of acquaintances, you will eventually bump into one of them at some point. Now if you woke up one morning and said, maybe today is the day that I'll run into X, and then you did, that would be impressive. But running into some random person out of your circle of acquaintances is nothing special. (John Allen Paulos gives a version of this argument in his book, Innumeracy.) You can't attach some significance ex post when there was no such attachment ex ante.
You might say that life is just a series of very improbable events. Bizarre coincidences are to be expected. Ex ante, they have near zero probability. Some of them simply have to happen, but you can't predict which ones. (Douglas Adams used this with entertaining effect in The Hitchhiker's Guide to the Galaxy with the Infinite Improbability Drive.)
As for whether a number is interesting, most of them are. Even numbers that look very dull from the outset. When mathematician G.H. Hardy visited his friend and collaborator Ramanujan, he expressed his disappointment with the number of the taxicab in which he rode that day, 1729. Ramanujan replied that 1729 was a very interesting number. It is the smallest number that can be expressed as the sum of two cubes in two different ways (1^3+12^3 and 9^3+10^3). Today, 1729 is known to mathematicians as the Hardy-Ramanujan number.
Ramanujan's ability to see patterns in numbers was much more interesting and useful than some numerologist's obsession with the number 23.