828823 has 2 divisors, whose sum is σ = 828824. Its totient is φ = 828822.

The previous prime is 828811. The next prime is 828829. The reversal of 828823 is 328828.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828823 is a prime.

It is a super-3 number, since 3×828823³ = 1708073825816033301, which contains 333 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828829) 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 as a sum of consecutive naturals, namely, 414411 + 414412.

It is an arithmetic number, because the mean of its divisors is an integer number (414412).

2⁸²⁸⁸²³ is an apocalyptic number.

828823 is a deficient number, since it is larger than the sum of its proper divisors (1).

828823 is an equidigital number, since it uses as much as digits as its factorization.

828823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144, while the sum is 31.

The square root of 828823 is about 910.3971660764. The cubic root of 828823 is about 93.9335202195.

The spelling of 828823 in words is "eight hundred twenty-eight thousand, eight hundred twenty-three".