828875 has 16 divisors (see below), whose sum is σ = 1092000. Its totient is φ = 626400.

The previous prime is 828871. The next prime is 828881. The reversal of 828875 is 578828.

828875 = 11² + 12² + ... + 135².

It is not a de Polignac number, because 828875 - 2² = 828871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

2⁸²⁸⁸⁷⁵ is an apocalyptic number.

828875 is a deficient number, since it is larger than the sum of its proper divisors (263125).

828875 is a wasteful number, since it uses less digits than its factorization.

828875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 828875 is about 910.4257245926. The cubic root of 828875 is about 93.9354846280.

Subtracting from 828875 its reverse (578828), we obtain a cube (250047 = 63³).

The spelling of 828875 in words is "eight hundred twenty-eight thousand, eight hundred seventy-five".