853312 has 28 divisors (see below), whose sum is σ = 1727200. Its totient is φ = 418176.

The previous prime is 853291. The next prime is 853319. The reversal of 853312 is 213358.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853319) 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, 4189 + ... + 4387.

2⁸⁵³³¹² 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 853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863600).

853312 is an abundant number, since it is smaller than the sum of its proper divisors (873888).

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

853312 is a wasteful number, since it uses less digits than its factorization.

853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 853312 is about 923.7488836258. The cubic root of 853312 is about 94.8496976924.

The spelling of 853312 in words is "eight hundred fifty-three thousand, three hundred twelve".