# 165

## 165 is an odd composite number composed of three prime numbers multiplied together.

What does the number 165 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

165 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 165:

### 3 × 5 × 11

See below for interesting mathematical facts about the number 165 from the Numbermatics database.

### Names of 165

• Cardinal: 165 can be written as One hundred sixty-five.

### Scientific notation

• Scientific notation: 1.65 × 102

### Factors of 165

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 19

### Divisors of 165

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 288
• Sum of proper divisors (its aliquot sum) s(n): 123
• 165 is a deficient number, because the sum of its proper divisors (123) is less than itself. Its deficiency is 42

### Bases of 165

• Binary: 101001012
• Base-36: 4L

### Squares and roots of 165

• 165 squared (1652) is 27225
• 165 cubed (1653) is 4492125
• The square root of 165 is 12.8452325787
• The cube root of 165 is 5.4848065525

### Scales and comparisons

How big is 165?
• 165 seconds is equal to 2 minutes, 45 seconds.
• To count from 1 to 165 would take you about twenty-two seconds.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 165 cubic inches would be around 0.5 feet tall.

### Recreational maths with 165

• 165 backwards is 561
• The number of decimal digits it has is: 3
• The sum of 165's digits is 12
• More coming soon!