123593 has 2 divisors, whose sum is σ = 123594. Its totient is φ = 123592.

The previous prime is 123583. The next prime is 123601. The reversal of 123593 is 395321.

It is a happy number.

123593 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100489 + 23104 = 317^2 + 152^2 .

It is an emirp because it is prime and its reverse (395321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123593 - 2¹⁴ = 107209 is a prime.

It is not a weakly prime, because it can be changed into another prime (123503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61796 + 61797.

It is an arithmetic number, because the mean of its divisors is an integer number (61797).

2¹²³⁵⁹³ is an apocalyptic number.

It is an amenable number.

123593 is a deficient number, since it is larger than the sum of its proper divisors (1).

123593 is an equidigital number, since it uses as much as digits as its factorization.

123593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 23.

The square root of 123593 is about 351.5579610818. The cubic root of 123593 is about 49.8116916899.

The spelling of 123593 in words is "one hundred twenty-three thousand, five hundred ninety-three".