581312 has 28 divisors (see below), whose sum is σ = 1194816. Its totient is φ = 280320.

The previous prime is 581311. The next prime is 581323. The reversal of 581312 is 213185.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581312.

It is not an unprimeable number, because it can be changed into a prime (581311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1838 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (42672).

2⁵⁸¹³¹² 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 581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597408).

581312 is an abundant number, since it is smaller than the sum of its proper divisors (613504).

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

581312 is a wasteful number, since it uses less digits than its factorization.

581312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 581312 is about 762.4381942164. The cubic root of 581312 is about 83.4583439300.

Adding to 581312 its reverse (213185), we get a palindrome (794497).

The spelling of 581312 in words is "five hundred eighty-one thousand, three hundred twelve".