828393 has 16 divisors (see below), whose sum is σ = 1203840. Its totient is φ = 504576.

The previous prime is 828383. The next prime is 828397. The reversal of 828393 is 393828.

It is not a de Polignac number, because 828393 - 2⁵ = 828361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828397) 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, 1668 + ... + 2106.

It is an arithmetic number, because the mean of its divisors is an integer number (75240).

2⁸²⁸³⁹³ is an apocalyptic number.

It is an amenable number.

828393 is a deficient number, since it is larger than the sum of its proper divisors (375447).

828393 is a wasteful number, since it uses less digits than its factorization.

828393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its digits is 10368, while the sum is 33.

The square root of 828393 is about 910.1609747731. The cubic root of 828393 is about 93.9172729223.

Adding to 828393 its reverse (393828), we get a palindrome (1222221).

It can be divided in two parts, 828 and 393, that added together give a palindrome (1221).

The spelling of 828393 in words is "eight hundred twenty-eight thousand, three hundred ninety-three".