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8325 has 18 divisors (see below), whose sum is σ = 15314. Its totient is φ = 4320.

The previous prime is 8317. The next prime is 8329. The reversal of 8325 is 5238.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 6561 = 42^2 + 81^2 .

It is not a de Polignac number, because 8325 - 23 = 8317 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

8325 is a lucky number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 8298 and 8307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207 + ... + 243.

28325 is an apocalyptic number.

It is an amenable number.

8325 is a deficient number, since it is larger than the sum of its proper divisors (6989).

8325 is a wasteful number, since it uses less digits than its factorization.

8325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 8325 is about 91.2414379545. The cubic root of 8325 is about 20.2672463958.

It can be divided in two parts, 8 and 325, that added together give a palindrome (333).

The spelling of 8325 in words is "eight thousand, three hundred twenty-five".