The Collaborative International Dictionary of English v.0.48:

nonintellectual \nonintellectual\ adj.
   not intellectual. Opposite of intellectual. [Narrower
   terms: anti-intellectual, philistine; lowbrow,
   uncultivated ] Also See {unscholarly.
   [WordNet 1.5]

WordNet (r) 3.0 (2006):

nonintellectual
    adj 1: not intellectual [ant: intellectual]

Moby Thesaurus II by Grady Ward, 1.0:

40 Moby Thesaurus words for "nonintellectual":
   Gothic, Philistine, barbarous, bookless, deceived,
   functionally illiterate, grammarless, heathen, hoodwinked,
   ill-educated, illiterate, led astray, lowbrow, misinformed,
   misinstructed, mistaught, pagan, rude, unbooked, unbookish,
   unbooklearned, unbriefed, uncultivated, uncultured, unedified,
   uneducated, unerudite, unguided, uninstructed, unintellectual,
   unlearned, unlettered, unliterary, unread, unrefined, unscholarly,
   unschooled, unstudious, untaught, untutored