585041 has 2 divisors, whose sum is σ = 585042. Its totient is φ = 585040.

The previous prime is 585037. The next prime is 585043. The reversal of 585041 is 140585.

585041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 271441 = 560^2 + 521^2 .

It is a cyclic number.

It is not a de Polignac number, because 585041 - 2² = 585037 is a prime.

Together with 585043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 584998 and 585016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585041.

It is not a weakly prime, because it can be changed into another prime (585043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292520 + 292521.

It is an arithmetic number, because the mean of its divisors is an integer number (292521).

2⁵⁸⁵⁰⁴¹ is an apocalyptic number.

It is an amenable number.

585041 is a deficient number, since it is larger than the sum of its proper divisors (1).

585041 is an equidigital number, since it uses as much as digits as its factorization.

585041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 585041 is about 764.8797291078. The cubic root of 585041 is about 83.6364198817.

The spelling of 585041 in words is "five hundred eighty-five thousand, forty-one".