112361 has 2 divisors, whose sum is σ = 112362. Its totient is φ = 112360.

The previous prime is 112349. The next prime is 112363. The reversal of 112361 is 163211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 40000 = 269^2 + 200^2 .

It is an emirp because it is prime and its reverse (163211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112361 - 2⁶ = 112297 is a prime.

Together with 112363, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (112363) 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 as a sum of consecutive naturals, namely, 56180 + 56181.

It is an arithmetic number, because the mean of its divisors is an integer number (56181).

2¹¹²³⁶¹ is an apocalyptic number.

It is an amenable number.

112361 is a deficient number, since it is larger than the sum of its proper divisors (1).

112361 is an equidigital number, since it uses as much as digits as its factorization.

112361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 14.

The square root of 112361 is about 335.2029236149. The cubic root of 112361 is about 48.2545791067.

Adding to 112361 its reverse (163211), we get a palindrome (275572).

The spelling of 112361 in words is "one hundred twelve thousand, three hundred sixty-one".