Equivalence classes and writing sets - Quotient Sets

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I need to write the quotient set of this relation: Over the set: $\mathbb{N}$ $ aRb \leftrightarrow (2 \nmid a \cdot b ~ \vee a=b)$

So the equivalence sets are: $\{1,3,5,7, \dots\}$ and all the singletons: $\{2\}, \{3\} , \dots $

Does this count as a "well written" (and true?) answer (final answer only):

$\{a : 2 \nmid a \in \mathbb{N}\} \cup \{ \{a\} : 2 \mid a \in \mathbb{N} \}$

Because I am not sure of how to write it in a formal mathematical way..

Thank you!