581361 has 16 divisors (see below), whose sum is σ = 860160. Its totient is φ = 346320.

The previous prime is 581353. The next prime is 581369. The reversal of 581361 is 163185.

It is an interprime number because it is at equal distance from previous prime (581353) and next prime (581369).

It is not a de Polignac number, because 581361 - 2³ = 581353 is a prime.

It is a super-2 number, since 2×581361² = 675961224642, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581361.

It is not an unprimeable number, because it can be changed into a prime (581369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2496 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

2⁵⁸¹³⁶¹ is an apocalyptic number.

It is an amenable number.

581361 is a deficient number, since it is larger than the sum of its proper divisors (278799).

581361 is a wasteful number, since it uses less digits than its factorization.

581361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316.

The product of its digits is 720, while the sum is 24.

The square root of 581361 is about 762.4703272915. The cubic root of 581361 is about 83.4606888234.

The spelling of 581361 in words is "five hundred eighty-one thousand, three hundred sixty-one".