565344 has 72 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 172800.

The previous prime is 565343. The next prime is 565361. The reversal of 565344 is 443565.

565344 is a `hidden beast` number, since 5 + 653 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×565344² = 639227676672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (7200) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 565344.

It is not an unprimeable number, because it can be changed into a prime (565343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3669 + ... + 3819.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2⁵⁶⁵³⁴⁴ 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 565344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

565344 is an abundant number, since it is smaller than the sum of its proper divisors (1177488).

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

565344 is a wasteful number, since it uses less digits than its factorization.

565344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 565344 is about 751.8936094954. The cubic root of 565344 is about 82.6870686146.

It can be divided in two parts, 565 and 344, that added together give a palindrome (909).

The spelling of 565344 in words is "five hundred sixty-five thousand, three hundred forty-four".