821084 has 12 divisors (see below), whose sum is σ = 1567608. Its totient is φ = 373200.

The previous prime is 821081. The next prime is 821089. The reversal of 821084 is 480128.

821084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9287 + ... + 9374.

It is an arithmetic number, because the mean of its divisors is an integer number (130634).

2⁸²¹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

821084 is a deficient number, since it is larger than the sum of its proper divisors (746524).

821084 is a wasteful number, since it uses less digits than its factorization.

821084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18676 (or 18674 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 821084 is about 906.1368550059. The cubic root of 821084 is about 93.6402425149.

It can be divided in two parts, 82 and 1084, that multiplied together give a palindrome (88888).

The spelling of 821084 in words is "eight hundred twenty-one thousand, eighty-four".