92 is a
composite number; a square-prime, of the general form (p2, q) where q is a higher
prime. It is the tenth of this form and the eighth of the form (22.q).
92 is the eighth
pentagonal number,[1] and an
Erdős–Woods number, since it is possible to find sequences of 92 consecutive integers such that each inner member shares a factor with either the first or the last member.[2]
With an
aliquot sum of
76; itself a square-prime, within an
aliquot sequence of five composite numbers (92,
76,
64,
63,
1,0) to the prime in the 63-aliquot tree.
There are 92 "atomic elements" in
John Conway'slook-and-say sequence, corresponding to the 92 non-transuranic elements in the chemist's periodic table.
92 is palindromic in bases 6 (2326), 7 (1617), 22 (4422), and 45 (2245).
There are 92 numbers such that does not contain all digits in
base ten (the largest such number is
168, where
68 is the smallest number with such a representation containing all digits, followed by
70 and
79).[3]
The
ISBN Group Identifier for books published by international publishers such as
UNESCO.
The number which runs through almost every single of British film-maker
Peter Greenaway's films. This number has special association with the fictional character of Greenaway's creation,
Tulse Luper. It is said the number itself is based on a mathematical error in calculations concerning
John Cage's work
Indeterminacy. See The Falls for extensive use of this number.