17850625

17850625 is a positive integer that is notable in number theory for being a perfect fourth power. It equals 65 raised to the fourth power (17850625 = 65^4). Because 65^4 = (65^2)^2 and 65^2 = 4225, the number is also a perfect square, since 17850625 = 4225^2.

The prime factorization of 17850625 is 5^4 times 13^4, since 65 = 5 × 13 and raising to the fourth power distributes over the factors. This makes the number a biquadrate, i.e., a fourth power, and it confirms its square-root and fourth-root relationships: the square root is 4225 and the fourth root is 65.

In terms of arithmetic properties, the number has (4 + 1) × (4 + 1) = 25 positive divisors, reflecting its prime exponents of 4 in both primes 5 and 13. It ends in 0625, a digit pattern commonly seen in some fourth powers of numbers ending with 5.

If interpreted as a date in YYYYMMDD notation, 17850625 corresponds to June 25, 1785. Beyond this calendrical reading, there is no universally recognized historical event specifically tied to this exact date in standard historical records, so the primary significance of the string remains its role as a mathematical object.