586641 has 16 divisors (see below), whose sum is σ = 884160. Its totient is φ = 342720.

The previous prime is 586633. The next prime is 586667. The reversal of 586641 is 146685.

586641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 586641 - 2³ = 586633 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 586599 and 586608.

It is not an unprimeable number, because it can be changed into a prime (586601) 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, 651 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (55260).

2⁵⁸⁶⁶⁴¹ is an apocalyptic number.

It is an amenable number.

586641 is a deficient number, since it is larger than the sum of its proper divisors (297519).

586641 is a wasteful number, since it uses less digits than its factorization.

586641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its digits is 5760, while the sum is 30.

The square root of 586641 is about 765.9249310474. The cubic root of 586641 is about 83.7125948653.

The spelling of 586641 in words is "five hundred eighty-six thousand, six hundred forty-one".