# 167

## 167 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 167 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

167 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 167:

### 167

See below for interesting mathematical facts about the number 167 from the Numbermatics database.

### Names of 167

• Cardinal: 167 can be written as One hundred sixty-seven.

### Scientific notation

• Scientific notation: 1.67 × 102

### Factors of 167

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 167

### Divisors of 167

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 168
• Sum of proper divisors (its aliquot sum) s(n): 1
• 167 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 166

### Bases of 167

• Binary: 101001112
• Base-36: 4N

### Squares and roots of 167

• 167 squared (1672) is 27889
• 167 cubed (1673) is 4657463
• The square root of 167 is 12.9228479833
• The cube root of 167 is 5.5068784463

### Scales and comparisons

How big is 167?
• 167 seconds is equal to 2 minutes, 47 seconds.
• To count from 1 to 167 would take you about twenty-three 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 167 cubic inches would be around 0.5 feet tall.

### Recreational maths with 167

• 167 backwards is 761
• The number of decimal digits it has is: 3
• The sum of 167's digits is 14
• More coming soon!

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"Number 167 - Facts about the integer". Numbermatics.com. 2023. Web. 1 February 2023.

APA style:
Numbermatics. (2023). Number 167 - Facts about the integer. Retrieved 1 February 2023, from https://numbermatics.com/n/167/

Chicago style:
Numbermatics. 2023. "Number 167 - Facts about the integer". https://numbermatics.com/n/167/

The information we have on file for 167 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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