828375 has 24 divisors (see below), whose sum is σ = 1408368. Its totient is φ = 432400.

The previous prime is 828371. The next prime is 828379. The reversal of 828375 is 573828.

It is an interprime number because it is at equal distance from previous prime (828371) and next prime (828379).

It is not a de Polignac number, because 828375 - 2² = 828371 is a prime.

Its product of digits (13440) is a multiple of the sum of its prime factors (112).

828375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17602 + ... + 17648.

It is an arithmetic number, because the mean of its divisors is an integer number (58682).

828375 is a Friedman number, since it can be written as (3^5-8)^2*(8+7), using all its digits and the basic arithmetic operations.

2⁸²⁸³⁷⁵ is an apocalyptic number.

828375 is a deficient number, since it is larger than the sum of its proper divisors (579993).

828375 is an equidigital number, since it uses as much as digits as its factorization.

828375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 55 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 828375 is about 910.1510863587. The cubic root of 828375 is about 93.9165926802.

The spelling of 828375 in words is "eight hundred twenty-eight thousand, three hundred seventy-five".