581825 has 18 divisors (see below), whose sum is σ = 785106. Its totient is φ = 426240.

The previous prime is 581821. The next prime is 581843. The reversal of 581825 is 528185.

It can be written as a sum of positive squares in 9 ways, for example, as 2704 + 579121 = 52^2 + 761^2 .

It is not a de Polignac number, because 581825 - 2² = 581821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581825.

It is not an unprimeable number, because it can be changed into a prime (581821) 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 17 ways as a sum of consecutive naturals, for example, 15707 + ... + 15743.

It is an arithmetic number, because the mean of its divisors is an integer number (43617).

2⁵⁸¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

581825 is a deficient number, since it is larger than the sum of its proper divisors (203281).

581825 is a wasteful number, since it uses less digits than its factorization.

581825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its digits is 3200, while the sum is 29.

The square root of 581825 is about 762.7745407393. The cubic root of 581825 is about 83.4828869994.

The spelling of 581825 in words is "five hundred eighty-one thousand, eight hundred twenty-five".