585721 has 2 divisors, whose sum is σ = 585722. Its totient is φ = 585720.

The previous prime is 585691. The next prime is 585727. The reversal of 585721 is 127585.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583696 + 2025 = 764^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 585721 - 2⁷ = 585593 is a prime.

It is a Chen prime.

585721 is a lucky number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 585721.

It is not a weakly prime, because it can be changed into another prime (585727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292860 + 292861.

It is an arithmetic number, because the mean of its divisors is an integer number (292861).

2⁵⁸⁵⁷²¹ is an apocalyptic number.

It is an amenable number.

585721 is a deficient number, since it is larger than the sum of its proper divisors (1).

585721 is an equidigital number, since it uses as much as digits as its factorization.

585721 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2800, while the sum is 28.

The square root of 585721 is about 765.3241143463. The cubic root of 585721 is about 83.6688111985.

The spelling of 585721 in words is "five hundred eighty-five thousand, seven hundred twenty-one".