# 1667

## 1,667 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 1667 look like?

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

1667 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1667:

### 1667

See below for interesting mathematical facts about the number 1667 from the Numbermatics database.

### Names of 1667

• Cardinal: 1667 can be written as One thousand, six hundred sixty-seven.

### Scientific notation

• Scientific notation: 1.667 × 103

### Factors of 1667

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1667

### Divisors of 1667

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1668
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1667 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1666

### Bases of 1667

• Binary: 110100000112
• Base-36: 1AB

### Squares and roots of 1667

• 1667 squared (16672) is 2778889
• 1667 cubed (16673) is 4632407963
• The square root of 1667 is 40.8289113251
• The cube root of 1667 is 11.8571013831

### Scales and comparisons

How big is 1667?
• 1,667 seconds is equal to 27 minutes, 47 seconds.
• To count from 1 to 1,667 would take you about twenty-seven 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 1667 cubic inches would be around 1 feet tall.

### Recreational maths with 1667

• 1667 backwards is 7661
• 1667 is a twin prime! Its twin is 1669
• The number of decimal digits it has is: 4
• The sum of 1667's digits is 20
• More coming soon!