  We present far-infrared (FIR) and submillimeter photometry from the Herschel
Space Observatory's Spectral and Photometric Imaging Receiver (SPIRE) for 313
nearby z<0.05 active galactic nuclei (AGN). We selected AGN from the 58 month
Swift Burst Alert Telescope (BAT) catalog, the result of an all-sky survey in
the 14-195 keV energy band, allowing for a reduction in AGN selection effects
due to obscuration and host galaxy contamination. We find 46% (143/313) of our
sample is detected at all three wavebands and combined with our PACS
observations represents the most complete FIR spectral energy distributions of
local, moderate luminosity AGN. We find no correlation between the 250, 350,
and 500 micron luminosities with 14-195 keV luminosity, indicating the bulk of
the FIR emission is not related to the AGN. However, Seyfert 1s do show a very
weak correlation with X-ray luminosity compared to Seyfert 2s and we discuss
possible explanations. We compare the SPIRE colors (F250/F350 and F350/F500) to
a sample of normal star-forming galaxies, finding the two samples are
statistically similar, especially after matching in stellar mass. But a
color-color plot reveals a fraction of the Herschel-BAT AGN are displaced from
the normal star-forming galaxies due to excess 500 micron emission E500). Our
analysis shows E500 is strongly correlated with the 14-195 keV luminosity and
3.4/4.6 micron flux ratio, evidence the excess is related to the AGN. We
speculate these sources are experiencing millimeter excess emission originating
in the corona of the accretion disk.
