828901 has 2 divisors, whose sum is σ = 828902. Its totient is φ = 828900.

The previous prime is 828899. The next prime is 828917. The reversal of 828901 is 109828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 763876 + 65025 = 874^2 + 255^2 .

It is a cyclic number.

It is not a de Polignac number, because 828901 - 2¹ = 828899 is a prime.

Together with 828899, it forms a pair of twin primes.

828901 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 828901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828941) 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, 414450 + 414451.

It is an arithmetic number, because the mean of its divisors is an integer number (414451).

2⁸²⁸⁹⁰¹ is an apocalyptic number.

It is an amenable number.

828901 is a deficient number, since it is larger than the sum of its proper divisors (1).

828901 is an equidigital number, since it uses as much as digits as its factorization.

828901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 828901 is about 910.4400035148. The cubic root of 828901 is about 93.9364668014.

The spelling of 828901 in words is "eight hundred twenty-eight thousand, nine hundred one".