96 (number)
96 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.
- a refactorable number.
- an untouchable number.
- 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 over the first seventeen integers.
- strobogrammatic in bases 10, 11 and 95.
- palindromic in bases 11, 15, 23, 31, 47 and 95.
- 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.
- divisible by the number of prime numbers below 96.
- the smallest natural number that can be expressed as the difference of two nonzero squares in more than three ways:,, or.
Skilling's figure, a degenerate uniform polyhedron, has Euler characteristic
Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.