828575 has 24 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 572000.

The previous prime is 828557. The next prime is 828577. The reversal of 828575 is 575828.

It is not a de Polignac number, because 828575 - 2¹⁴ = 812191 is a prime.

It is an Ulam number.

Its product of digits (22400) is a multiple of the sum of its prime factors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828577) 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, 6260 + ... + 6390.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸²⁸⁵⁷⁵ is an apocalyptic number.

828575 is a deficient number, since it is larger than the sum of its proper divisors (349921).

828575 is a wasteful number, since it uses less digits than its factorization.

828575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 828575 is about 910.2609515957. The cubic root of 828575 is about 93.9241503713.

It can be divided in two parts, 828 and 575, that multiplied together give a square (476100 = 690²).

The spelling of 828575 in words is "eight hundred twenty-eight thousand, five hundred seventy-five".