853992 has 48 divisors (see below), whose sum is σ = 2398500. Its totient is φ = 274176.

The previous prime is 853981. The next prime is 853999. The reversal of 853992 is 299358.

853992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 54756 = 894^2 + 234^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8⁶ + 5⁴ + 9³ + 3¹² + 9⁵ + 2² .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 853992.

It is not an unprimeable number, because it can be changed into a prime (853999) by changing a digit.

853992 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 11 ways as a sum of consecutive naturals, for example, 1884 + ... + 2292.

2⁸⁵³⁹⁹² 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 853992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199250).

853992 is an abundant number, since it is smaller than the sum of its proper divisors (1544508).

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

853992 is a wasteful number, since it uses less digits than its factorization.

853992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 853992 is about 924.1168757251. The cubic root of 853992 is about 94.8748860836.

The spelling of 853992 in words is "eight hundred fifty-three thousand, nine hundred ninety-two".