13335

13335 is a number that falls between 13334 and 13336 in the sequence of natural numbers. It is an odd number, as it cannot be evenly divided by 2. In the decimal numeral system, it is written as "thirteen thousand three hundred thirty-five." In Roman numerals, it is represented as "XMMCCCXXXV."

The number 13335 has a few interesting properties in mathematics. It is a composite number, meaning it has factors other than 1 and itself. Its prime factorization is 5 times 5 times 1333, indicating that it is divisible by 5. Additionally, 13335 is a Harshad number, also known as a Niven number, because it is divisible by the sum of its digits (1 + 3 + 3 + 3 + 5 = 15).

In recreational mathematics, 13335 is known for being the smallest number that can be expressed as the sum of two positive cubes in two different ways: 13335 = 15^3 + 1^3 = 10^3 + 11^3. This property makes it a member of the set of taxicab numbers, which are numbers that can be expressed as the sum of two positive cubes in more than one way.

The number 13335 does not hold any significant historical or cultural importance, and it is not associated with any notable events or figures. It is simply a number with some interesting mathematical properties.