828225 has 30 divisors (see below), whose sum is σ = 1537910. Its totient is φ = 440640.

The previous prime is 828221. The next prime is 828239. The reversal of 828225 is 522828.

828225 = 41³ + 42³ + ... + 49³.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 641601 = 432^2 + 801^2 .

It is not a de Polignac number, because 828225 - 2² = 828221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (828221) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1821 + ... + 2229.

2⁸²⁸²²⁵ is an apocalyptic number.

It is an amenable number.

828225 is a deficient number, since it is larger than the sum of its proper divisors (709685).

828225 is a wasteful number, since it uses less digits than its factorization.

828225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

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

The square root of 828225 is about 910.0686787271. The cubic root of 828225 is about 93.9109236136.

The spelling of 828225 in words is "eight hundred twenty-eight thousand, two hundred twenty-five".