# 5167

## 5,167 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 5167 look like?

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

5167 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 5167:

### 5167

See below for interesting mathematical facts about the number 5167 from the Numbermatics database.

### Names of 5167

• Cardinal: 5167 can be written as Five thousand, one hundred sixty-seven.

### Scientific notation

• Scientific notation: 5.167 × 103

### Factors of 5167

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 5167

### Divisors of 5167

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 5168
• Sum of proper divisors (its aliquot sum) s(n): 1
• 5167 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 5166

### Bases of 5167

• Binary: 10100001011112
• Base-36: 3ZJ

### Squares and roots of 5167

• 5167 squared (51672) is 26697889
• 5167 cubed (51673) is 137947992463
• The square root of 5167 is 71.8818474999
• The cube root of 5167 is 17.2880557289

### Scales and comparisons

How big is 5167?
• 5,167 seconds is equal to 1 hour, 26 minutes, 7 seconds.
• To count from 1 to 5,167 would take you about twenty-six 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 5167 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5167

• 5167 backwards is 7615
• The number of decimal digits it has is: 4
• The sum of 5167's digits is 19
• More coming soon!