57593 has 2 divisors, whose sum is σ = 57594. Its totient is φ = 57592.

The previous prime is 57587. The next prime is 57601. The reversal of 57593 is 39575.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 16384 = 203^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 57593 - 2⁶ = 57529 is a prime.

It is a Chen prime.

It is a plaindrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57593.

It is not a weakly prime, because it can be changed into another prime (57503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28796 + 28797.

It is an arithmetic number, because the mean of its divisors is an integer number (28797).

2⁵⁷⁵⁹³ is an apocalyptic number.

It is an amenable number.

57593 is a deficient number, since it is larger than the sum of its proper divisors (1).

57593 is an equidigital number, since it uses as much as digits as its factorization.

57593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4725, while the sum is 29.

The square root of 57593 is about 239.9854162236. The cubic root of 57593 is about 38.6180108705.

The spelling of 57593 in words is "fifty-seven thousand, five hundred ninety-three".