828009 has 32 divisors (see below), whose sum is σ = 1514240. Its totient is φ = 435456.

The previous prime is 828007. The next prime is 828011. The reversal of 828009 is 900828.

It is an interprime number because it is at equal distance from previous prime (828007) and next prime (828011).

It is not a de Polignac number, because 828009 - 2¹ = 828007 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2289 + ... + 2625.

It is an arithmetic number, because the mean of its divisors is an integer number (47320).

2⁸²⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

828009 is a deficient number, since it is larger than the sum of its proper divisors (686231).

828009 is a wasteful number, since it uses less digits than its factorization.

828009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 828009 is about 909.9499986263. The cubic root of 828009 is about 93.9027589550.

The spelling of 828009 in words is "eight hundred twenty-eight thousand, nine".