Search a number
-
+
23593 is a prime number
BaseRepresentation
bin101110000101001
31012100211
411300221
51223333
6301121
7125533
oct56051
935324
1023593
11167a9
12117a1
13a97b
148853
156ecd
hex5c29

23593 has 2 divisors, whose sum is σ = 23594. Its totient is φ = 23592.

The previous prime is 23581. The next prime is 23599. The reversal of 23593 is 39532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15129 + 8464 = 123^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 23593 - 25 = 23561 is a prime.

It is a plaindrome in base 5.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (23599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11796 + 11797.

It is an arithmetic number, because the mean of its divisors is an integer number (11797).

223593 is an apocalyptic number.

It is an amenable number.

23593 is a deficient number, since it is larger than the sum of its proper divisors (1).

23593 is an equidigital number, since it uses as much as digits as its factorization.

23593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 23593 is about 153.6001302083. The cubic root of 23593 is about 28.6810065867.

It can be divided in two parts, 23 and 593, that added together give a palindrome (616).

The spelling of 23593 in words is "twenty-three thousand, five hundred ninety-three".