# 11597

## 11,597 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 11597 look like?

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

11597 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 11597:

### 11597

See below for interesting mathematical facts about the number 11597 from the Numbermatics database.

### Names of 11597

• Cardinal: 11597 can be written as Eleven thousand, five hundred ninety-seven.

### Scientific notation

• Scientific notation: 1.1597 × 104

### Factors of 11597

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 11597

### Divisors of 11597

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 11598
• Sum of proper divisors (its aliquot sum) s(n): 1
• 11597 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 11596

### Bases of 11597

• Binary: 101101010011012
• Base-36: 8Y5

### Squares and roots of 11597

• 11597 squared (115972) is 134490409
• 11597 cubed (115973) is 1559685273173
• The square root of 11597 is 107.6893680917
• The cube root of 11597 is 22.6350722835

### Scales and comparisons

How big is 11597?
• 11,597 seconds is equal to 3 hours, 13 minutes, 17 seconds.
• To count from 1 to 11,597 would take you about three hours.

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 11597 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11597

• 11597 backwards is 79511
• The number of decimal digits it has is: 5
• The sum of 11597's digits is 23
• More coming soon!