853116 has 48 divisors (see below), whose sum is σ = 2274048. Its totient is φ = 246400.

The previous prime is 853103. The next prime is 853123. The reversal of 853116 is 611358.

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 853116.

It is an unprimeable number.

853116 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, 2896 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (47376).

2⁸⁵³¹¹⁶ 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 853116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137024).

853116 is an abundant number, since it is smaller than the sum of its proper divisors (1420932).

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

853116 is a wasteful number, since it uses less digits than its factorization.

853116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 320 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 853116 is about 923.6427880951. The cubic root of 853116 is about 94.8424350248.

It can be divided in two parts, 853 and 116, that added together give a palindrome (969).

The spelling of 853116 in words is "eight hundred fifty-three thousand, one hundred sixteen".