The number 97327
97327 is the 9361st prime number. Its only divisors are 1 and 97327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97327: the 9361st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97327 is prime, so its only factors are 1 and 97327. It is the 9361st prime; the next prime is 97367 and the one before is 97303.
- 3
The divisors add up to 97328; without 97327 itself that is 1, so 97327 is deficient (1 is less than 97327). Euler's totient φ(97327) = 97326 numbers up to 97327 share no factor with it.
- 4
The digits of 97327 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
97327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97328 |
| Euler totient φ(n) | 97326 |
| Square | 9472544929 |
| Cube | 921934380304783 |
| Square root | 311.972755 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.7327 × |
97327 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and twenty-seven |
| Binary (base 2) | 10111110000101111 |
| Octal (base 8) | 276057 |
| Hexadecimal (base 16) | 17C2F |
| Base 3 | 11221111201 |
| As time | 97327 seconds = 27 h 2 min 7 s |
Is 97327 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97327 a prime number?
Yes. 97327 is divisible only by 1 and itself.
What are the factors of 97327?
1, 97327.
What is 97327 in binary?
10111110000101111 (hexadecimal 17C2F, octal 276057).
What is the square root of 97327?
About 311.9728.
Is 97327 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97327?
97327 is the 9361st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.