582961 has 2 divisors, whose sum is σ = 582962. Its totient is φ = 582960.

The previous prime is 582949. The next prime is 582971. The reversal of 582961 is 169285.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 269361 = 560^2 + 519^2 .

It is a cyclic number.

It is not a de Polignac number, because 582961 - 2¹¹ = 580913 is a prime.

It is not a weakly prime, because it can be changed into another prime (582931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 291480 + 291481.

It is an arithmetic number, because the mean of its divisors is an integer number (291481).

2⁵⁸²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

582961 is a deficient number, since it is larger than the sum of its proper divisors (1).

582961 is an equidigital number, since it uses as much as digits as its factorization.

582961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 582961 is about 763.5188275347. The cubic root of 582961 is about 83.5371844854.

The spelling of 582961 in words is "five hundred eighty-two thousand, nine hundred sixty-one".