975

975 is a natural number that comes after 974 and before 976. In prime factorization terms, it is 3 × 5^2 × 13, making it an odd composite number. It is divisible by 3, 5, 13, as well as by 15, 25, 39, 65, 75, 195, and 325.

In other numeral systems, 975 is written as 1111001111 in binary, 1717 in octal, and 3CF in hexadecimal. In Roman numerals, it is CMLXXV.

Sum of proper divisors equals 761; hence 975 is a deficient number. It is not square-free due to the factor 5^2. It is not a Harshad number in base 10 since 975 is not divisible by the sum of its digits (21). The divisors of 975 include 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, and 325.

Historically, 975 CE falls in the middle of the 10th century, a period marked by regional kingdoms and evolving state structures across Europe, the Byzantine world, and parts of Asia. The number itself does not denote a widely known constant or mathematical construct beyond its arithmetic properties.