189495

189,495 is a natural number that follows 189,494 and precedes 189,496. It is an odd composite number with several notable arithmetic properties.

Its prime factorization is 3^2 × 5 × 4211. The factor 4211 is prime, making 189,495 the product of a small square, a small prime, and a larger prime. This factorization yields 12 positive divisors in total. The divisors are 1, 3, 5, 9, 15, 45, 4211, 12,633, 21,055, 37,899, 63,165, and 189,495.

In terms of divisibility, the digits of 189,495 sum to 36, which confirms divisibility by 9; since it is also divisible by 5, the number is divisible by 45. The sum of all divisors (including the number itself) is 328,536, giving a sum of proper divisors of 139,041.

From a representational perspective, 189,495 is not expressible as a sum of two squares. This follows from the prime factorization: the prime 4211 is congruent to 3 modulo 4 and appears to the first power, which by a classical criterion prohibits such a representation.

As a numeric object, 189,495 is a mid-sized, non-prime, non-square integer with a factorization that highlights a combination of a square factor and two distinct primes. Its divisors and divisor-related sums illustrate common arithmetic properties used in number theory discussions about factorization and divisor functions.