828333 has 16 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 501840.

The previous prime is 828277. The next prime is 828349. The reversal of 828333 is 333828.

It is not a de Polignac number, because 828333 - 2⁹ = 827821 is a prime.

It is a super-2 number, since 2×828333² = 1372271117778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 828297 and 828306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828383) 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, 1098 + ... + 1691.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

2⁸²⁸³³³ is an apocalyptic number.

It is an amenable number.

828333 is a deficient number, since it is larger than the sum of its proper divisors (510867).

828333 is a wasteful number, since it uses less digits than its factorization.

828333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2803 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 828333 is about 910.1280129740. The cubic root of 828333 is about 93.9150054106.

The spelling of 828333 in words is "eight hundred twenty-eight thousand, three hundred thirty-three".