828809 has 2 divisors, whose sum is σ = 828810. Its totient is φ = 828808.

The previous prime is 828797. The next prime is 828811. The reversal of 828809 is 908828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 635209 + 193600 = 797^2 + 440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828809 is a prime.

Together with 828811, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (828829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414404 + 414405.

It is an arithmetic number, because the mean of its divisors is an integer number (414405).

2⁸²⁸⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

828809 is a deficient number, since it is larger than the sum of its proper divisors (1).

828809 is an equidigital number, since it uses as much as digits as its factorization.

828809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 828809 is about 910.3894770921. The cubic root of 828809 is about 93.9329913262.

The spelling of 828809 in words is "eight hundred twenty-eight thousand, eight hundred nine".