828975 has 24 divisors (see below), whose sum is σ = 1567360. Its totient is φ = 378720.

The previous prime is 828967. The next prime is 828977. The reversal of 828975 is 579828.

828975 = 10² + 11² + ... + 135².

It is not a de Polignac number, because 828975 - 2³ = 828967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828977) 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 23 ways as a sum of consecutive naturals, for example, 265 + ... + 1314.

2⁸²⁸⁹⁷⁵ is an apocalyptic number.

828975 is a deficient number, since it is larger than the sum of its proper divisors (738385).

828975 is a wasteful number, since it uses less digits than its factorization.

828975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 828975 is about 910.4806422983. The cubic root of 828975 is about 93.9392621058.

The spelling of 828975 in words is "eight hundred twenty-eight thousand, nine hundred seventy-five".