# Are there names for any of these four classes of numbers related to divisors and totatives?

Are there names for any of these four classes of numbers related to divisors and totatives?

1. A [insert name here] of $n$ is a positive integer $\leq n$ that isn't a divisor of $n$ and that can be multiplied by some other integer to produce a power of $n$.
2. A [insert name here] of $n$ is a positive integer $\leq n$ that can be multiplied by some other integer to produce a power of $n$. (This class of numbers is composed of the previous class of numbers plus the divisors.)
3. A [insert name here] of $n$ is a positive integer $\leq n$ that is the product of at least one prime divisor of $n$ and at least one prime totative of $n$.
4. A [insert name here] of $n$ is a positive integer $\leq n$ that is either a totative of $n$ or the product of at least one prime divisor of $n$ and at least one prime totative of $n$. (This class of numbers is composed of the previous class of numbers plus the totatives.)

For example, for $n=18$ here are all the numbers in all the four classes:

1. {4, 8, 12, 16}
2. {1, 2, 3, 4, 6, 8, 9, 12, 16, 18}
3. {10, 14, 15}
4. {5, 7, 10, 11, 13, 14, 15, 17}

I've done some research, and I found two articles about two classes of numbers that are somewhat similar to class number 2:

• The class of regular numbers according to Wikipedia is like class number 2, except that this class is restricted to $n=30k$ (because they are used in the study of the Babylonian's sexagesimal numeral system ) and the numbers are not restricted to being $\leq n$.
• The class of regular numbers according to Wolfram MathWorld is like class number 2, except that this class is restricted to $n=10k$ (because they are used in the study of our decimal numeral system) and the numbers are not restricted to being $\leq n$.