58573 has 2 divisors, whose sum is σ = 58574. Its totient is φ = 58572.

The previous prime is 58567. The next prime is 58579. The reversal of 58573 is 37585.

It is a balanced prime because it is at equal distance from previous prime (58567) and next prime (58579).

It can be written as a sum of positive squares in only one way, i.e., 58564 + 9 = 242^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 58573 - 2⁹ = 58061 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29286 + 29287.

It is an arithmetic number, because the mean of its divisors is an integer number (29287).

2⁵⁸⁵⁷³ is an apocalyptic number.

It is an amenable number.

58573 is a deficient number, since it is larger than the sum of its proper divisors (1).

58573 is an equidigital number, since it uses as much as digits as its factorization.

58573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 58573 is about 242.0185943270. The cubic root of 58573 is about 38.8358208889.

It can be divided in two parts, 5857 and 3, that multiplied together give a palindrome (17571).

The spelling of 58573 in words is "fifty-eight thousand, five hundred seventy-three".