853344 has 36 divisors (see below), whose sum is σ = 2427516. Its totient is φ = 284352.

The previous prime is 853339. The next prime is 853357. The reversal of 853344 is 443358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

853344 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 5 ways as a sum of consecutive naturals, for example, 1194 + ... + 1769.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

2⁸⁵³³⁴⁴ is an apocalyptic number.

It is an amenable number.

853344 is an abundant number, since it is smaller than the sum of its proper divisors (1574172).

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

853344 is a wasteful number, since it uses less digits than its factorization.

853344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2968 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 853344 is about 923.7662041881. The cubic root of 853344 is about 94.8508833285.

The spelling of 853344 in words is "eight hundred fifty-three thousand, three hundred forty-four".