162 (number)

Template:Infobox number 162 (one hundred [and] sixty-two) is the natural number between 161 and 163.

In mathematics

Having only 2 and 3 as its prime divisors, 162 is a 3-smooth number. 162 is also an abundant number, since its sum of divisors $1+2+3+6+9+18+27+54+81=201$ is greater than it. As the product $3\times 6\times 9=162$ of numbers three units apart from each other, it is a triple factorial number.

There are 162 ways of partitioning seven items into subsets of at least two items per subset. 162⁶⁴ + 1 is a prime number.

References

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