The number 97367
97367 is a twin prime (97367 and 97369 are both prime) and the 9362nd prime number. Its only divisors are 1 and 97367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97367: a twin prime (97367 and 97369 are both prime); the 9362nd prime number.
- 2
97367 is prime, so its only factors are 1 and 97367. It is the 9362nd prime; the next prime is 97369 and the one before is 97327.
- 3
The divisors add up to 97368; without 97367 itself that is 1, so 97367 is deficient (1 is less than 97367). Euler's totient φ(97367) = 97366 numbers up to 97367 share no factor with it.
- 4
The digits of 97367 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
97367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97368 |
| Euler totient φ(n) | 97366 |
| Square | 9480332689 |
| Cube | 923071552929863 |
| Square root | 312.036857 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7367 × |
97367 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and sixty-seven |
| Binary (base 2) | 10111110001010111 |
| Octal (base 8) | 276127 |
| Hexadecimal (base 16) | 17C57 |
| Base 3 | 11221120012 |
| As time | 97367 seconds = 27 h 2 min 47 s |
Is 97367 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97367 a prime number?
Yes. 97367 is divisible only by 1 and itself.
What are the factors of 97367?
1, 97367.
What is 97367 in binary?
10111110001010111 (hexadecimal 17C57, octal 276127).
What is the square root of 97367?
About 312.0369.
Is 97367 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97367?
97367 is a twin prime (97367 and 97369 are both prime); the 9362nd prime number.