96 (number)
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Template:Redirect Template:Infobox number 96 (ninety-six) is the natural number following 95 and preceding 97. It is a number that appears the same when rotated by 180 degrees.
In mathematics
96 is:
- an octagonal number.<ref>Template:Cite web</ref>
- a refactorable number.<ref>Template:Cite web</ref>
- an untouchable number.<ref>Template:Cite web</ref>
- a semiperfect number since it is a multiple of 6.
- an abundant number since the sum of its proper divisors is greater than 96.
- the fourth Granville number and the second non-perfect Granville number. The next Granville number is 126, the previous being 24.
- the sum of Euler's totient function φ(x) over the first seventeen integers.
- strobogrammatic in bases 10 (9610), 11 (8811) and 95 (1195).
- palindromic in bases 11 (8811), 15 (6615), 23 (4423), 31 (3331), 47 (2247) and 95 (1195).
- an Erdős–Woods number, since it is possible to find sequences of 96 consecutive integers such that each inner member shares a factor with either the first or the last member.<ref>Template:Cite web</ref>
- divisible by the number of prime numbers (24) below 96.
- the smallest natural number that can be expressed as the difference of two nonzero squares in more than three ways: <math>10^2-2^2</math>, <math>11^2-5^2</math>, <math>14^2-10^2</math> or <math>25^2-23^2</math>.<ref>Template:Cite OEIS</ref>
The number of divisors of 96 is 12.<ref name="OEIS-A000005">Template:Cite OEIS</ref> As no smaller number has more than 12 divisors, 96 is a largely composite number.<ref name="OEIS-A067128">Template:Cite OEIS</ref>
Skilling's figure, a degenerate uniform polyhedron, has Euler characteristic <math>\chi=-96.</math>
Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.