828801 has 12 divisors (see below), whose sum is σ = 1267812. Its totient is φ = 519936.

The previous prime is 828797. The next prime is 828809. The reversal of 828801 is 108828.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 497025 = 576^2 + 705^2 .

It is not a de Polignac number, because 828801 - 2² = 828797 is a prime.

It is a super-2 number, since 2×828801² = 1373822195202, which contains 22 as substring.

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 828801.

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 11 ways as a sum of consecutive naturals, for example, 2556 + ... + 2861.

It is an arithmetic number, because the mean of its divisors is an integer number (105651).

2⁸²⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

828801 is a deficient number, since it is larger than the sum of its proper divisors (439011).

828801 is a wasteful number, since it uses less digits than its factorization.

828801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 828801 is about 910.3850833576. The cubic root of 828801 is about 93.9326890988.

Adding to 828801 its sum of digits (27), we get a palindrome (828828).

The spelling of 828801 in words is "eight hundred twenty-eight thousand, eight hundred one".