8379

8379 is a positive integer and a four-digit number in the decimal system. It is an odd and composite number with a prime factorization of 3^2 × 7^2 × 19, which shows it is the product of small primes.

Because of this factorization, 8379 has 18 positive divisors. It is divisible by 9 and by 63, as well as by 441 and by 133, among other divisors. The digits of 8379 sum to 27, which makes the number divisible by 9; indeed, 8379 ÷ 9 = 931, and 931 factors further as 7^2 × 19.

In modular and digit-based properties, 8379 is congruent to 3 modulo 4, and it is not a multiple of 2 or 5. It is also not a power of a single prime, not a prime itself, and not a square or cube.

From a number-theoretic perspective, 8379 is not a triangular number since the discriminant of the equation n(n+1)/2 = 8379 is 1 + 8 × 8379 = 67033, which is not a perfect square. It is also not a sum of two squares, because all prime factors (3, 7, and 19) are congruent to 3 mod 4 and some appear with odd exponents in the product, violating the standard criterion for sums of two squares.

In summary, 8379 is a four-digit, composite integer with a factorization into small primes, several divisors, and a few straightforward arithmetic properties, but it does not have widely recognized special classifications or widely noted applications beyond standard numerical examples.