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593 is a prime number
BaseRepresentation
bin1001010001
3210222
421101
54333
62425
71505
oct1121
9728
10593
1149a
12415
13368
14305
15298
hex251

593 has 2 divisors, whose sum is σ = 594. Its totient is φ = 592.

The previous prime is 587. The next prime is 599. The reversal of 593 is 395.

It is a balanced prime because it is at equal distance from previous prime (587) and next prime (599).

It can be written as a sum of positive squares in only one way, i.e., 529 + 64 = 23^2 + 8^2 .

593 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 593 - 24 = 577 is a prime.

It is a Sophie Germain prime.

It is a Leyland number of the form 92 + 29.

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 5.

It is not a weakly prime, because it can be changed into another prime (599) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 296 + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (297).

It is an amenable number.

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

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

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

The product of its digits is 135, while the sum is 17.

The square root of 593 is about 24.3515913238. The cubic root of 593 is about 8.4013981044.

Subtracting from 593 its sum of digits (17), we obtain a square (576 = 242).

It can be divided in two parts, 5 and 93, that multiplied together give a triangular number (465 = T30).

The spelling of 593 in words is "five hundred ninety-three", and thus it is an aban number and an oban number.