582561 has 18 divisors (see below), whose sum is σ = 979602. Its totient is φ = 332640.

The previous prime is 582551. The next prime is 582563. The reversal of 582561 is 165285.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 11025 = 756^2 + 105^2 .

It is not a de Polignac number, because 582561 - 2⁷ = 582433 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (582563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220 + ... + 1101.

2⁵⁸²⁵⁶¹ is an apocalyptic number.

582561 is the 441-st octagonal number.

It is an amenable number.

582561 is a deficient number, since it is larger than the sum of its proper divisors (397041).

582561 is a wasteful number, since it uses less digits than its factorization.

582561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 582561 is about 763.2568375062. The cubic root of 582561 is about 83.5180737049.

It can be divided in two parts, 5825 and 61, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 582561 in words is "five hundred eighty-two thousand, five hundred sixty-one".