580961 has 4 divisors (see below), whose sum is σ = 582912. Its totient is φ = 579012.

The previous prime is 580939. The next prime is 580969. The reversal of 580961 is 169085.

580961 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 580961 - 2¹⁸ = 318817 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580969) 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, 425 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (145728).

2⁵⁸⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

580961 is a deficient number, since it is larger than the sum of its proper divisors (1951).

580961 is a wasteful number, since it uses less digits than its factorization.

580961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 580961 is about 762.2079768672. The cubic root of 580961 is about 83.4415429828.

The spelling of 580961 in words is "five hundred eighty thousand, nine hundred sixty-one".