# 1249

## 1,249 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 1249 look like?

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

1249 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1249:

### 1249

See below for interesting mathematical facts about the number 1249 from the Numbermatics database.

### Names of 1249

• Cardinal: 1249 can be written as One thousand, two hundred forty-nine.

### Scientific notation

• Scientific notation: 1.249 × 103

### Factors of 1249

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1249

### Divisors of 1249

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1250
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1249 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1248

### Bases of 1249

• Binary: 100111000012
• Base-36: YP

### Squares and roots of 1249

• 1249 squared (12492) is 1560001
• 1249 cubed (12493) is 1948441249
• The square root of 1249 is 35.3411940941
• The cube root of 1249 is 10.7693001043

### Scales and comparisons

How big is 1249?
• 1,249 seconds is equal to 20 minutes, 49 seconds.
• To count from 1 to 1,249 would take you about twenty 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 1249 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1249

• 1249 backwards is 9421
• The number of decimal digits it has is: 4
• The sum of 1249's digits is 16
• More coming soon!