196365

196365 is a natural number that lies between 196364 and 196366. It is an odd, composite integer with a straightforward prime factorization.

Its prime factorization is 196365 = 3 × 5 × 13 × 19 × 53. Because all prime factors are distinct, the number is square-free and has 32 positive divisors. It is divisible by 3, 5, and by their product 15 (196365 ÷ 15 = 13091). The remaining factor 13091 factors as 13 × 1007, with 1007 = 19 × 53, confirming the full factorization.

In terms of divisibility properties, 196365 is divisible by 3 and 5 and, consequently, by 15. The sum of its digits is 30, which makes the number divisible by 3 but not by 9, and it is not a Harshad number since 196365 is not divisible by 30 (the digit sum).

As a product of five distinct primes, 196365 serves as an example of a relatively large divisor count for its magnitude and illustrates typical properties of square-free integers. It does not have widely noted mathematical constants or historical significance beyond its factorization and basic arithmetic attributes.