# 1187

## 1,187 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 1187 look like?

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

1187 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1187:

### 1187

See below for interesting mathematical facts about the number 1187 from the Numbermatics database.

### Names of 1187

• Cardinal: 1187 can be written as One thousand, one hundred eighty-seven.

### Scientific notation

• Scientific notation: 1.187 × 103

### Factors of 1187

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1187

### Divisors of 1187

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1188
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1187 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1186

### Bases of 1187

• Binary: 100101000112
• Base-36: WZ

### Squares and roots of 1187

• 1187 squared (11872) is 1408969
• 1187 cubed (11873) is 1672446203
• The square root of 1187 is 34.4528663539
• The cube root of 1187 is 10.5880724981

### Scales and comparisons

How big is 1187?
• 1,187 seconds is equal to 19 minutes, 47 seconds.
• To count from 1 to 1,187 would take you about nineteen 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 1187 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1187

• 1187 backwards is 7811
• The number of decimal digits it has is: 4
• The sum of 1187's digits is 17
• More coming soon!