853384 has 32 divisors (see below), whose sum is σ = 1872000. Its totient is φ = 364560.

The previous prime is 853357. The next prime is 853387. The reversal of 853384 is 483358.

Its product of digits (11520) is a multiple of the sum of its prime divisors (320).

It is not an unprimeable number, because it can be changed into a prime (853387) by changing a digit.

853384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2589 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁸⁵³³⁸⁴ 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 853384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936000).

853384 is an abundant number, since it is smaller than the sum of its proper divisors (1018616).

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

853384 is a wasteful number, since it uses less digits than its factorization.

853384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 853384 is about 923.7878544341. The cubic root of 853384 is about 94.8523653318.

The spelling of 853384 in words is "eight hundred fifty-three thousand, three hundred eighty-four".