821116 has 12 divisors (see below), whose sum is σ = 1451632. Its totient is φ = 406368.

The previous prime is 821113. The next prime is 821131. The reversal of 821116 is 611128.

It is a junction number, because it is equal to n+sod(n) for n = 821093 and 821102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 585 + ... + 1408.

2⁸²¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

821116 is a deficient number, since it is larger than the sum of its proper divisors (630516).

821116 is a wasteful number, since it uses less digits than its factorization.

821116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2098 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 821116 is about 906.1545122108. The cubic root of 821116 is about 93.6414589754.

The spelling of 821116 in words is "eight hundred twenty-one thousand, one hundred sixteen".