822455325 has 72 divisors (see below), whose sum is σ = 1589583528. Its totient is φ = 404951040.

The previous prime is 822455317. The next prime is 822455329. The reversal of 822455325 is 523554228.

It is a happy number.

822455325 is a `hidden beast` number, since 82 + 2 + 4 + 553 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 56881764 + 765573561 = 7542^2 + 27669^2 .

It is not a de Polignac number, because 822455325 - 2³ = 822455317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 822455325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822455329) 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 71 ways as a sum of consecutive naturals, for example, 200697 + ... + 204753.

It is an arithmetic number, because the mean of its divisors is an integer number (22077549).

Almost surely, 2^822455325 is an apocalyptic number.

822455325 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

822455325 is a deficient number, since it is larger than the sum of its proper divisors (767128203).

822455325 is a wasteful number, since it uses less digits than its factorization.

822455325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4135 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 822455325 is about 28678.4819158895. The cubic root of 822455325 is about 936.9234428266.

The spelling of 822455325 in words is "eight hundred twenty-two million, four hundred fifty-five thousand, three hundred twenty-five".