# 967

## 967 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 967 look like?

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

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

## Prime factorization of 967:

### 967

See below for interesting mathematical facts about the number 967 from the Numbermatics database.

### Names of 967

• Cardinal: 967 can be written as Nine hundred sixty-seven.

### Scientific notation

• Scientific notation: 9.67 × 102

### Factors of 967

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 967

### Divisors of 967

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 968
• Sum of proper divisors (its aliquot sum) s(n): 1
• 967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 966

### Bases of 967

• Binary: 11110001112
• Base-36: QV

### Squares and roots of 967

• 967 squared (9672) is 935089
• 967 cubed (9673) is 904231063
• The square root of 967 is 31.0966236111
• The cube root of 967 is 9.8887673165

### Scales and comparisons

How big is 967?
• 967 seconds is equal to 16 minutes, 7 seconds.
• To count from 1 to 967 would take you about eight minutes.

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 967 cubic inches would be around 0.8 feet tall.

### Recreational maths with 967

• 967 backwards is 769
• The number of decimal digits it has is: 3
• The sum of 967's digits is 22
• More coming soon!

MLA style:
"Number 967 - Facts about the integer". Numbermatics.com. 2021. Web. 19 October 2021.

APA style:
Numbermatics. (2021). Number 967 - Facts about the integer. Retrieved 19 October 2021, from https://numbermatics.com/n/967/

Chicago style:
Numbermatics. 2021. "Number 967 - Facts about the integer". https://numbermatics.com/n/967/

The information we have on file for 967 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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