# 1361

## 1,361 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 1361 look like?

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

1361 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1361:

### 1361

See below for interesting mathematical facts about the number 1361 from the Numbermatics database.

### Names of 1361

• Cardinal: 1361 can be written as One thousand, three hundred sixty-one.

### Scientific notation

• Scientific notation: 1.361 × 103

### Factors of 1361

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1361

### Divisors of 1361

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1362
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1361 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1360

### Bases of 1361

• Binary: 101010100012
• Base-36: 11T

### Squares and roots of 1361

• 1361 squared (13612) is 1852321
• 1361 cubed (13613) is 2521008881
• The square root of 1361 is 36.8917334913
• The cube root of 1361 is 11.0820313669

### Scales and comparisons

How big is 1361?
• 1,361 seconds is equal to 22 minutes, 41 seconds.
• To count from 1 to 1,361 would take you about twenty-two 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 1361 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1361

• 1361 backwards is 1631
• The number of decimal digits it has is: 4
• The sum of 1361's digits is 11
• More coming soon!