828084 has 24 divisors (see below), whose sum is σ = 1949248. Its totient is φ = 273600.

The previous prime is 828071. The next prime is 828101. The reversal of 828084 is 480828.

It is a super-2 number, since 2×828084² = 1371446222112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828084.

It is an unprimeable number.

828084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 2040.

2⁸²⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

828084 is an abundant number, since it is smaller than the sum of its proper divisors (1121164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828084 is a wasteful number, since it uses less digits than its factorization.

828084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 828084 is about 909.9912087487. The cubic root of 828084 is about 93.9055940668.

The spelling of 828084 in words is "eight hundred twenty-eight thousand, eighty-four".