8225 has 12 divisors (see below), whose sum is σ = 11904. Its totient is φ = 5520.

The previous prime is 8221. The next prime is 8231. The reversal of 8225 is 5228.

It is a happy number.

It is not a de Polignac number, because 8225 - 2² = 8221 is a prime.

It is a magnanimous number.

It is a d-powerful number, because it can be written as 8 + 2¹² + 2¹² + 5² .

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (8221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (992).

2⁸²²⁵ is an apocalyptic number.

It is an amenable number.

8225 is a deficient number, since it is larger than the sum of its proper divisors (3679).

8225 is a wasteful number, since it uses less digits than its factorization.

8225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 160, while the sum is 17.

The square root of 8225 is about 90.6917857361. The cubic root of 8225 is about 20.1857691487.

Adding to 8225 its product of digits (160), we get a triangular number (8385 = T₁₂₉).

The spelling of 8225 in words is "eight thousand, two hundred twenty-five".