The number 97967
97967 is the 9416th prime number. Its only divisors are 1 and 97967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97967: the 9416th prime number.
- 2
97967 is prime, so its only factors are 1 and 97967. It is the 9416th prime; the next prime is 97973 and the one before is 97961.
- 3
The divisors add up to 97968; without 97967 itself that is 1, so 97967 is deficient (1 is less than 97967). Euler's totient φ(97967) = 97966 numbers up to 97967 share no factor with it.
- 4
The digits of 97967 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
97967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97968 |
| Euler totient φ(n) | 97966 |
| Square | 9597533089 |
| Cube | 940241524130063 |
| Square root | 312.996805 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7967 × |
97967 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and sixty-seven |
| Binary (base 2) | 10111111010101111 |
| Octal (base 8) | 277257 |
| Hexadecimal (base 16) | 17EAF |
| Base 3 | 11222101102 |
| As time | 97967 seconds = 27 h 12 min 47 s |
Is 97967 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 2) | 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 2) | 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 1) | 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 97967 a prime number?
Yes. 97967 is divisible only by 1 and itself.
What are the factors of 97967?
1, 97967.
What is 97967 in binary?
10111111010101111 (hexadecimal 17EAF, octal 277257).
What is the square root of 97967?
About 312.9968.
Is 97967 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 97967?
97967 is the 9416th prime number.