823116 has 48 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 228480.

The previous prime is 823051. The next prime is 823117. The reversal of 823116 is 611328.

823116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 823092 and 823101.

It is not an unprimeable number, because it can be changed into a prime (823117) by changing a digit.

823116 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 15 ways as a sum of consecutive naturals, for example, 3325 + ... + 3563.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2⁸²³¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

823116 is an abundant number, since it is smaller than the sum of its proper divisors (1434804).

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

823116 is a wasteful number, since it uses less digits than its factorization.

823116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 823116 is about 907.2574055912. The cubic root of 823116 is about 93.7174251271.

It can be divided in two parts, 823 and 116, that added together give a palindrome (939).

The spelling of 823116 in words is "eight hundred twenty-three thousand, one hundred sixteen".