Are all the books in the Tanakh theologically "equal"?

I know that, by definition, everything contained within the Tanakh is canonical.

I have this strong perception that the Torah has the highest authority, as the direct word of G-d to Moses; Neviim less so; and Ketuvim is essentially a formal collection of cultural and historical works.

But on the other hand, I know the contents of the Tanakh were very purposefully chosen and intentionally made to be a single collection defining written (vs oral) Judaism.

Are the Ketuvim considered divinely influenced/inspired like the Torah and Neviim? Are the words of the Neviim as definitive as those of the Torah?