12361 has 4 divisors (see below), whose sum is σ = 12672. Its totient is φ = 12052.

The previous prime is 12347. The next prime is 12373. The reversal of 12361 is 16321.

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, and also an emirpimes, since its reverse is a distinct semiprime: 16321 = 19 ⋅859.

It is a cyclic number.

It is not a de Polignac number, because 12361 - 2⁵ = 12329 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 178.

It is an arithmetic number, because the mean of its divisors is an integer number (3168).

2¹²³⁶¹ is an apocalyptic number.

It is an amenable number.

12361 is a deficient number, since it is larger than the sum of its proper divisors (311).

12361 is an equidigital number, since it uses as much as digits as its factorization.

12361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310.

The product of its digits is 36, while the sum is 13.

The square root of 12361 is about 111.1800341788. The cubic root of 12361 is about 23.1215992077.

Adding to 12361 its reverse (16321), we get a palindrome (28682).

It can be divided in two parts, 123 and 61, that multiplied together give a triangular number (7503 = T₁₂₂).

The spelling of 12361 in words is "twelve thousand, three hundred sixty-one".