1962

This number is a composite.

1962*1962! - 1 is prime. [Firoozbakht]

p = 1*9*6*2 + 1 is the largest prime factor of 1962 & 1962 = p*(1+9+6+2). Note that 1962 is the only even number with this property and also there exists only one odd number with this property. [Firoozbakht]