The word arithmetician is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 22
Highest Scoring Words With Friends™ Play In The Letters arithmetician
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Seven Letter Word Alert: (58 words)
airtime, amentia, anaemic, animate, archean, attache, carinae, carmine, catmint, cattier, certain, chainer, chanter, chatter, chimera, cithern, citrate, citrine, cittern, etchant, hairnet, ichnite, imitate, inciter, inertia, inherit, inreach, interim, itchier, machine, martian, martini, matcher, minaret, miniate, mintier, nattier, nematic, nictate, nitrate, nitrite, nittier, raiment, rainhat, ratchet, rechain, rematch, tantric, teacart, termini, tetanic, thermic, thiamin, tintier, titanic, titmice, trachea, tranche