1164

1164 is a natural number that follows 1163 and precedes 1165. In mathematics, it is an even composite number with prime factorization 2^2 · 3 · 97. Its divisors are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, and 1164, making a total of 12 divisors. The sum of all divisors is 2744, so the sum of proper divisors is 1580, which classifies 1164 as an abundant number. It is also a Harshad (Niven) number in base 10 because the sum of its digits is 1 + 1 + 6 + 4 = 12, and 1164 is divisible by 12. In Euler’s totient function terms, φ(1164) = 384. In various numeral systems, 1164 is represented as 10010001100 in binary and MCLXIV in Roman numerals.

As a year, 1164 CE falls in the mid-12th century. In historical contexts, chronicles from different regions record events of that era, reflecting the political, religious, and cultural developments of the medieval world. The year is also noted in various chronological lists and historical timelines, though specific events may vary by source.

In other uses, 1164 may appear in catalog numbers, model names, or technical designations where a four-digit identifier is required. As a plain integer, its arithmetic properties—its factorization, divisors, and representations in other bases—are the primary mathematical attributes typically highlighted in reference works.