Section:
A. Introduction

B. Comparison Table

C. The Radical Narcs

D. Numbers that pwn
2-digit
3-digit
4-digit ... < 2000
4-digit ... < 4000
E. Code / Algorithm

Radical Narcissistic Numbers
Dr Colin Rose

This section considers the special case of a pretty wild narcissistic number where:

the factorial is not required, but the radical is then required for a solution.

I call such numbers: radical narcissistic numbers. There are only 14 such positive integers n < 10000, and here they are:
  729     =    
1296     =     funky ,         funky ,         funky
1764     =    

2378     =     -23 + Sqrt[7^8]

2744     =    

2746     =    

3645     =     ,      

4372     =     Sqrt[4]37 - 2 ,       -Sqrt[4] + (37 × 2)

4374     =     ,       ,       4 × 37/Sqrt[4]       ...

4913     =     (Sqrt[4]9 - 1)3

5184     =    

6495     =     (64 + Sqrt[9])5

6859     =    

8192     =     ,       ,             ...

GREEN numbers: require concatenation of digits