828821 has 8 divisors (see below), whose sum is σ = 954240. Its totient is φ = 705168.

The previous prime is 828811. The next prime is 828823. The reversal of 828821 is 128828.

828821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828821 - 2⁶ = 828757 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815 + ... + 1523.

It is an arithmetic number, because the mean of its divisors is an integer number (119280).

2⁸²⁸⁸²¹ is an apocalyptic number.

It is an amenable number.

828821 is a deficient number, since it is larger than the sum of its proper divisors (125419).

828821 is a wasteful number, since it uses less digits than its factorization.

828821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883.

The product of its digits is 2048, while the sum is 29.

The square root of 828821 is about 910.3960676541. The cubic root of 828821 is about 93.9334446636.

The spelling of 828821 in words is "eight hundred twenty-eight thousand, eight hundred twenty-one".