828933 has 12 divisors (see below), whose sum is σ = 1285920. Its totient is φ = 473592.

The previous prime is 828923. The next prime is 828941. The reversal of 828933 is 339828.

It is not a de Polignac number, because 828933 - 2⁴ = 828917 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 828894 and 828903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2673 + ... + 2966.

It is an arithmetic number, because the mean of its divisors is an integer number (107160).

2⁸²⁸⁹³³ is an apocalyptic number.

It is an amenable number.

828933 is a deficient number, since it is larger than the sum of its proper divisors (456987).

828933 is a wasteful number, since it uses less digits than its factorization.

828933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656 (or 5649 counting only the distinct ones).

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

The square root of 828933 is about 910.4575772654. The cubic root of 828933 is about 93.9376756021.

The spelling of 828933 in words is "eight hundred twenty-eight thousand, nine hundred thirty-three".