828109 has 2 divisors, whose sum is σ = 828110. Its totient is φ = 828108.

The previous prime is 828101. The next prime is 828119. The reversal of 828109 is 901828.

828109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 828100 + 9 = 910^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 828109 - 2³ = 828101 is a prime.

It is a Chen prime.

828109 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414054 + 414055.

It is an arithmetic number, because the mean of its divisors is an integer number (414055).

2⁸²⁸¹⁰⁹ is an apocalyptic number.

It is an amenable number.

828109 is a deficient number, since it is larger than the sum of its proper divisors (1).

828109 is an equidigital number, since it uses as much as digits as its factorization.

828109 is an evil number, because the sum of its binary digits is even.

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

The square root of 828109 is about 910.0049450415. The cubic root of 828109 is about 93.9065390660.

The spelling of 828109 in words is "eight hundred twenty-eight thousand, one hundred nine".