285344 has 24 divisors (see below), whose sum is σ = 579348. Its totient is φ = 138240.

The previous prime is 285343. The next prime is 285377. The reversal of 285344 is 443582.

It can be written as a sum of positive squares in 2 ways, for example, as 250000 + 35344 = 500^2 + 188^2 .

It is a d-powerful number, because it can be written as 2⁷ + 8 + 3⁹ + 5⁵ + 4⁴ + 4⁹ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285344.

It is not an unprimeable number, because it can be changed into a prime (285343) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1064 + ... + 1304.

2²⁸⁵³⁴⁴ 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 285344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289674).

285344 is an abundant number, since it is smaller than the sum of its proper divisors (294004).

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

285344 is a wasteful number, since it uses less digits than its factorization.

285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 285344 is about 534.1760009585. The cubic root of 285344 is about 65.8349103220.

The spelling of 285344 in words is "two hundred eighty-five thousand, three hundred forty-four".