3923

This number is a prime.

When 3932 is divided by number formed by its first two digits, i.e. 39, the remainder is the last two digits, i.e., 3923/39 gives a prime remainder of 23. [Deshpande]

3923^2 is the 46th square that has a sum of digits of 46. [Gaydos]

3923 divides the concatenation of its four following integers. [Nie]