825322100 has 18 divisors (see below), whose sum is σ = 1790949174. Its totient is φ = 330128800.

The previous prime is 825322081. The next prime is 825322117. The reversal of 825322100 is 1223528.

It can be written as a sum of positive squares in 3 ways, for example, as 18421264 + 806900836 = 4292^2 + 28406^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4126511 + ... + 4126710.

Almost surely, 2^825322100 is an apocalyptic number.

It is an amenable number.

825322100 is an abundant number, since it is smaller than the sum of its proper divisors (965627074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825322100 is a wasteful number, since it uses less digits than its factorization.

825322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253235 (or 8253228 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 825322100 is about 28728.4197268141. The cubic root of 825322100 is about 938.0107699674.

Adding to 825322100 its reverse (1223528), we get a palindrome (826545628).

The spelling of 825322100 in words is "eight hundred twenty-five million, three hundred twenty-two thousand, one hundred".