828849 has 16 divisors (see below), whose sum is σ = 1307520. Its totient is φ = 456960.

The previous prime is 828833. The next prime is 828859. The reversal of 828849 is 948828.

It is a happy number.

828849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828849 - 2⁴ = 828833 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828849.

It is not an unprimeable number, because it can be changed into a prime (828809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (81720).

2⁸²⁸⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

828849 is a deficient number, since it is larger than the sum of its proper divisors (478671).

828849 is a wasteful number, since it uses less digits than its factorization.

828849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400.

The product of its digits is 36864, while the sum is 39.

The square root of 828849 is about 910.4114454465. The cubic root of 828849 is about 93.9345024340.

The spelling of 828849 in words is "eight hundred twenty-eight thousand, eight hundred forty-nine".