123613 has 4 divisors (see below), whose sum is σ = 141280. Its totient is φ = 105948.

The previous prime is 123601. The next prime is 123619. The reversal of 123613 is 316321.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 123613 - 2⁵ = 123581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8823 + ... + 8836.

It is an arithmetic number, because the mean of its divisors is an integer number (35320).

2¹²³⁶¹³ is an apocalyptic number.

It is an amenable number.

123613 is a deficient number, since it is larger than the sum of its proper divisors (17667).

123613 is an equidigital number, since it uses as much as digits as its factorization.

123613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666.

The product of its digits is 108, while the sum is 16.

The square root of 123613 is about 351.5864047428. The cubic root of 123613 is about 49.8143784119.

Adding to 123613 its reverse (316321), we get a palindrome (439934).

The spelling of 123613 in words is "one hundred twenty-three thousand, six hundred thirteen".