Could I apply the master theorem if my $ N / b $ is $ varphi (N) $?

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$$ T (N) = begin {cases} 1 & text {if} N = 1 \
T ( varphi (N)) + log ( varphi (N)) ^ 3 & text {otherwise}
end {cases} $$

Can i somehow express $ varphi (N) $ as $ N / b $, to be able to apply the master theorem and solve this recurrence?