In mathematics
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.
For , there are 92 solutions in the n-Queens Problem.
There are 92 "atomic elements" in John Conway's look-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).
The most faces or vertices an Archimedean or Catalan solid can have is 92: the snub dodecahedron has 92 faces while its dual polyhedron, the pentagonal hexecontahedron, has 92 vertices.
As a simple polyhedron, the final stellation of the icosahedron has 92 vertices.
There are 92 Johnson solids.
