I don't have a 32 bit version to play with, but when I do a select * from v$version, I get the following (bolding mine):
SQL> select * from v$version;
BANNER
----------------------------------------------------------------
Oracle9i Enterprise Edition Release 9.2.0.5.0 - 64bit Production
PL/SQL Release 9.2.0.5.0 - Production
CORE 9.2.0.6.0 Production
TNS for HPUX: Version 9.2.0.5.0 - Production
NLSRTL Version 9.2.0.5.0 - Production