# 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!