Search a number
2593 is a prime number
BaseRepresentation
bin101000100001
310120001
4220201
540333
620001
710363
oct5041
93501
102593
111a48
121601
131246
14d33
15b7d
hexa21

2593 has 2 divisors, whose sum is σ = 2594. Its totient is φ = 2592.

The previous prime is 2591. The next prime is 2609. The reversal of 2593 is 3952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 289 = 48^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 2593 - 21 = 2591 is a prime.

Together with 2591, it forms a pair of twin primes.

2593 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2593.

It is not a weakly prime, because it can be changed into another prime (2591) by changing a digit.

It is a Pierpont prime, being equal to 25 ⋅ 34 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1296 + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (1297).

22593 is an apocalyptic number.

It is an amenable number.

2593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2593 is an equidigital number, since it uses as much as digits as its factorization.

2593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 19.

The square root of 2593 is about 50.9215082259. The cubic root of 2593 is about 13.7383372178.

It can be divided in two parts, 259 and 3, that multiplied together give a palindrome (777).

The spelling of 2593 in words is "two thousand, five hundred ninety-three".