8282205 has 36 divisors (see below), whose sum is σ = 14928732. Its totient is φ = 4245120.

The previous prime is 8282203. The next prime is 8282227. The reversal of 8282205 is 5022828.

It can be written as a sum of positive squares in 2 ways, for example, as 1454436 + 6827769 = 1206^2 + 2613^2 .

It is not a de Polignac number, because 8282205 - 2¹ = 8282203 is a prime.

It is a Curzon number.

8282205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123582 + ... + 123648.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 2^8282205 is an apocalyptic number.

It is an amenable number.

8282205 is a deficient number, since it is larger than the sum of its proper divisors (6646527).

8282205 is a wasteful number, since it uses less digits than its factorization.

8282205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8282205 is about 2877.8820337185. The cubic root of 8282205 is about 202.3245851742.

The spelling of 8282205 in words is "eight million, two hundred eighty-two thousand, two hundred five".