82225 has 24 divisors (see below), whose sum is σ = 124992. Its totient is φ = 52800.

The previous prime is 82223. The next prime is 82231. The reversal of 82225 is 52228.

82225 = 33² + 34² + ... + 65².

It is not a de Polignac number, because 82225 - 2¹ = 82223 is a prime.

It is a d-powerful number, because it can be written as 8 + 2⁵ + 2¹⁰ + 2¹⁶ + 5⁶ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564 + ... + 3586.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁸²²²⁵ is an apocalyptic number.

It is an amenable number.

82225 is a deficient number, since it is larger than the sum of its proper divisors (42767).

82225 is a wasteful number, since it uses less digits than its factorization.

82225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 82225 is about 286.7490191788. The cubic root of 82225 is about 43.4845146801.

The spelling of 82225 in words is "eighty-two thousand, two hundred twenty-five".