123361 has 4 divisors (see below), whose sum is σ = 140992. Its totient is φ = 105732.

The previous prime is 123341. The next prime is 123373. The reversal of 123361 is 163321.

123361 is nontrivially palindromic in base 16.

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 123361 - 2⁹ = 122849 is a prime.

It is a Duffinian number.

123361 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8805 + ... + 8818.

It is an arithmetic number, because the mean of its divisors is an integer number (35248).

2¹²³³⁶¹ is an apocalyptic number.

It is an amenable number.

123361 is a deficient number, since it is larger than the sum of its proper divisors (17631).

123361 is an equidigital number, since it uses as much as digits as its factorization.

123361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17630.

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

The square root of 123361 is about 351.2278462765. The cubic root of 123361 is about 49.7805045113.

Adding to 123361 its reverse (163321), we get a palindrome (286682).

It can be divided in two parts, 123 and 361, that added together give a palindrome (484).

The spelling of 123361 in words is "one hundred twenty-three thousand, three hundred sixty-one".