585961 has 4 divisors (see below), whose sum is σ = 599632. Its totient is φ = 572292.

The previous prime is 585953. The next prime is 585989. The reversal of 585961 is 169585.

585961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 585961 - 2³ = 585953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (585911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6771 + ... + 6856.

It is an arithmetic number, because the mean of its divisors is an integer number (149908).

2⁵⁸⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

585961 is a deficient number, since it is larger than the sum of its proper divisors (13671).

585961 is a wasteful number, since it uses less digits than its factorization.

585961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13670.

The product of its digits is 10800, while the sum is 34.

The square root of 585961 is about 765.4808946016. The cubic root of 585961 is about 83.6802374422.

The spelling of 585961 in words is "five hundred eighty-five thousand, nine hundred sixty-one".