# 12167

## 12,167 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

What does the number 12167 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 4 divisors.

12167 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

## Prime factorization of 12167:

### 233

(23 × 23 × 23)

See below for interesting mathematical facts about the number 12167 from the Numbermatics database.

### Names of 12167

• Cardinal: 12167 can be written as Twelve thousand, one hundred sixty-seven.

### Scientific notation

• Scientific notation: 1.2167 × 104

### Factors of 12167

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 23

### Divisors of 12167

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 12720
• Sum of proper divisors (its aliquot sum) s(n): 553
• 12167 is a deficient number, because the sum of its proper divisors (553) is less than itself. Its deficiency is 11614

### Bases of 12167

• Binary: 101111100001112
• Base-36: 9DZ

### Squares and roots of 12167

• 12167 squared (121672) is 148035889
• 12167 cubed (121673) is 1801152661463
• The square root of 12167 is 110.3041250361
• 12167 is a perfect cube number. Its cube root is 23

### Scales and comparisons

How big is 12167?
• 12,167 seconds is equal to 3 hours, 22 minutes, 47 seconds.
• To count from 1 to 12,167 would take you about three hours.

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 12167 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12167

• 12167 backwards is 76121
• The number of decimal digits it has is: 5
• The sum of 12167's digits is 17
• More coming soon!