# 4967

## 4,967 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 4967 look like?

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

4967 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4967:

### 4967

See below for interesting mathematical facts about the number 4967 from the Numbermatics database.

### Names of 4967

• Cardinal: 4967 can be written as Four thousand, nine hundred sixty-seven.

### Scientific notation

• Scientific notation: 4.967 × 103

### Factors of 4967

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4967

### Divisors of 4967

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4968
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4966

### Bases of 4967

• Binary: 10011011001112
• Base-36: 3TZ

### Squares and roots of 4967

• 4967 squared (49672) is 24671089
• 4967 cubed (49673) is 122541299063
• The square root of 4967 is 70.4769465853
• The cube root of 4967 is 17.0620569283

### Scales and comparisons

How big is 4967?
• 4,967 seconds is equal to 1 hour, 22 minutes, 47 seconds.
• To count from 1 to 4,967 would take you about twenty-two 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 4967 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4967

• 4967 backwards is 7694
• 4967 is a twin prime! Its twin is 4969
• The number of decimal digits it has is: 4
• The sum of 4967's digits is 26
• More coming soon!

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The information we have on file for 4967 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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