'indivertible' originates from Latin elements via English formation: the prefix 'in-' (meaning 'not') + 'divertible' (from Latin 'dīvertere', 'to turn apart/aside'), where 'dī-' meant 'apart' and 'vertere' meant 'to turn'.

'dīvertere' in Classical Latin developed into Old French/Anglo-Norman forms of the verb (e.g. 'diverter/ diverter'), then into Middle English 'diverten/ diverten' and modern English 'divert' and the adjective 'divertible'; the negated formation 'in-' + 'divertible' produced the word 'indivertible' in later English usage.

Initially the Latin root meant 'to turn aside' or 'to separate by turning'; over time the English formation came to denote specifically the quality of 'not being able to be turned aside' — i.e. 'not divertible'.