What is a Dial Word™?

This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.

If a word conforms to a special rule, I call it a Dial Word™.
Use the following examples below to find the rule.

$$% set Title text. (spaces around the text ARE important; do not remove.) % increase Pad value only if your entries are longer than the title bar. % \def\Pad{\P{0.0}} \def\Title{\textbf{ Dial }} % \def\S#1#2{\Space{#1}{20px}{#2px}}\def\P#1{\V{#1em}}\def\V#1{\S{#1}{9}} \def\T{\Title\textbf{Words}^{\;\!™}\Pad}\def\NT{\Pad\textbf{Not}\T\ }\displaystyle \smash{\lower{29px}\bbox[yellow]{\phantom{\rlap{rubio.2019.05.15}\S{6px}{0} \begin{array}{cc}\Pad\T&\NT\\\end{array}}}}\atop\def\V#1{\S{#1}{5}} \begin{array}{|c|c|}\hline\Pad\T&\NT\\\hline % \text{ TAX }&\text{ DUES }\\ \hline \text{ MUD }&\text{ DUST }\\ \hline \text{ PAR }&\text{ EAGLE }\\ \hline \text{ DEAF }&\text{ DUMB }\\ \hline \text{ ONLY }&\text{ ONE }\\ \hline \text{ KITE }&\text{ SAIL }\\ \hline \text{ QUITS }&\text{ LEAVES }\\ \hline \text{ GLAZE }&\text{ SHINE }\\ \hline \text{ WINDOW }&\text{ DOOR }\\ \hline \text{ WINDOWS }&\text{ LINUX }\\ \hline \end{array}$$

And, if you want to analyze, here is a CSV version:

Dial Words™,Not Dial Words™
TAX,DUES
MUD,DUST
PAR,EAGLE
DEAF,DUMB
ONLY,ONE
KITE,SAIL
QUITS,LEAVES
GLAZE,SHINE
WINDOW,DOOR
WINDOWS,LINUX


I think that a Dial Word satisfies the property that

If we convert the letters of the word to numbers using the mappings of a telephone keypad we obtain a prime number

Examples

TAX $$\rightarrow$$ 829, which is prime
WINDOW $$\rightarrow$$ 946369, which is prime.
WINDOWS $$\rightarrow$$ 9463697, which is prime.

• You got it~~~:D – Conifers Sep 4 '19 at 16:15