1164
Number 1164: Properties, Factors, and Mathematical Facts
Short answer
The number 1164 is an even composite number with 12 positive divisors. Its prime factorization is 2² × 3 × 97. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1164 prime?
ClassificationCompositeParityEvenDivisor count12AbundanceAbundant
What is the prime factorization of 1164?
Prime factorization
2 squared times 3 times 97
What are the divisors of 1164?
Divisor count
12
Divisor sum
2,744
Proper divisor sum
1,580
- 1
- 2
- 3
- 4
- 6
- 12
- 97
- 194
- 291
- 388
- 582
- 1164
How is 1164 classified?
How is 1164 represented in other numeral systems?
Decimal
1164
Binary
10010001100
Octal
2214
Hexadecimal
48C
Roman
MCLXIVLearn more →
In words
one thousand one hundred sixty four
Roots and powers
Square root
34.117444 Approximate
Cube root
10.519239 Approximate
Nearest lower square
1156
Nearest higher square
1225
Nearest lower cube
1000
Nearest higher cube
1331
What are the digit properties of 1164?
Which numbers are related to 1164?
Why these results are true
- 1164 is composite because it has positive divisors other than 1 and itself.
- 1164 is abundant because the sum of its proper divisors (1580) is greater than 1164.
Compare this number
FAQ for 1164
- Is 1164 prime?
- No
- What is the prime factorization of 1164?
- 2² × 3 × 97
- Is 1164 a perfect square?
- No
- What is 1164 in binary?
- 10010001100
- What is 1164 in Roman numerals?
- MCLXIV