828033 has 4 divisors (see below), whose sum is σ = 1104048. Its totient is φ = 552020.

The previous prime is 828029. The next prime is 828043. The reversal of 828033 is 330828.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 828033 - 2² = 828029 is a prime.

It is a super-3 number, since 3×828033³ = 1703194282563335811, which contains 333 as substring.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 827994 and 828012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828033.

It is not an unprimeable number, because it can be changed into a prime (828013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138003 + ... + 138008.

It is an arithmetic number, because the mean of its divisors is an integer number (276012).

2⁸²⁸⁰³³ is an apocalyptic number.

It is an amenable number.

828033 is a deficient number, since it is larger than the sum of its proper divisors (276015).

828033 is a wasteful number, since it uses less digits than its factorization.

828033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276014.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 828033 is about 909.9631860685. The cubic root of 828033 is about 93.9036662094.

The spelling of 828033 in words is "eight hundred twenty-eight thousand, thirty-three".