582973 has 2 divisors, whose sum is σ = 582974. Its totient is φ = 582972.

The previous prime is 582971. The next prime is 582983. The reversal of 582973 is 379285.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 558009 + 24964 = 747^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 582973 - 2¹ = 582971 is a prime.

Together with 582971, it forms a pair of twin primes.

582973 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (582971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 291486 + 291487.

It is an arithmetic number, because the mean of its divisors is an integer number (291487).

2⁵⁸²⁹⁷³ is an apocalyptic number.

It is an amenable number.

582973 is a deficient number, since it is larger than the sum of its proper divisors (1).

582973 is an equidigital number, since it uses as much as digits as its factorization.

582973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 34.

The square root of 582973 is about 763.5266858467. The cubic root of 582973 is about 83.5377576738.

The spelling of 582973 in words is "five hundred eighty-two thousand, nine hundred seventy-three".