828889 has 2 divisors, whose sum is σ = 828890. Its totient is φ = 828888.

The previous prime is 828881. The next prime is 828899. The reversal of 828889 is 988828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 537289 + 291600 = 733^2 + 540^2 .

It is a cyclic number.

It is not a de Polignac number, because 828889 - 2³ = 828881 is a prime.

It is not a weakly prime, because it can be changed into another prime (828881) 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, 414444 + 414445.

It is an arithmetic number, because the mean of its divisors is an integer number (414445).

2⁸²⁸⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

828889 is a deficient number, since it is larger than the sum of its proper divisors (1).

828889 is an equidigital number, since it uses as much as digits as its factorization.

828889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 73728, while the sum is 43.

The square root of 828889 is about 910.4334132708. The cubic root of 828889 is about 93.9360134932.

Subtracting from 828889 its product of digits (73728), we obtain a square (755161 = 869²).

The spelling of 828889 in words is "eight hundred twenty-eight thousand, eight hundred eighty-nine".