828576225 has 81 divisors (see below), whose sum is σ = 1581953529. Its totient is φ = 414504000.

The previous prime is 828576211. The next prime is 828576227. The reversal of 828576225 is 522675828.

The square root of 828576225 is 28785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 152992161 + 675584064 = 12369^2 + 25992^2 .

It is not a de Polignac number, because 828576225 - 2⁷ = 828576097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (537600) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (828576227) 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 80 ways as a sum of consecutive naturals, for example, 8203675 + ... + 8203775.

Almost surely, 2^828576225 is an apocalyptic number.

828576225 is the 28785-th square number.

828576225 is the 14393-rd centered octagonal number.

It is an amenable number.

828576225 is a deficient number, since it is larger than the sum of its proper divisors (753377304).

828576225 is a wasteful number, since it uses less digits than its factorization.

828576225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The cubic root of 828576225 is about 939.2419665845.

The spelling of 828576225 in words is "eight hundred twenty-eight million, five hundred seventy-six thousand, two hundred twenty-five".