# 23957

## 23,957 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 23957 look like?

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

23957 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 23957:

### 23957

See below for interesting mathematical facts about the number 23957 from the Numbermatics database.

### Names of 23957

• Cardinal: 23957 can be written as Twenty-three thousand, nine hundred fifty-seven.

### Scientific notation

• Scientific notation: 2.3957 × 104

### Factors of 23957

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 23957

### Divisors of 23957

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 23958
• Sum of proper divisors (its aliquot sum) s(n): 1
• 23957 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 23956

### Bases of 23957

• Binary: 1011101100101012
• Base-36: IHH

### Squares and roots of 23957

• 23957 squared (239572) is 573937849
• 23957 cubed (239573) is 13749829048493
• The square root of 23957 is 154.7804897265
• The cube root of 23957 is 28.8277542377

### Scales and comparisons

How big is 23957?
• 23,957 seconds is equal to 6 hours, 39 minutes, 17 seconds.
• To count from 1 to 23,957 would take you about six 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 23957 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23957

• 23957 backwards is 75932
• The number of decimal digits it has is: 5
• The sum of 23957's digits is 26
• More coming soon!