112289 has 2 divisors, whose sum is σ = 112290. Its totient is φ = 112288.

The previous prime is 112279. The next prime is 112291. The reversal of 112289 is 982211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112225 + 64 = 335^2 + 8^2 .

It is an emirp because it is prime and its reverse (982211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112289 - 2¹² = 108193 is a prime.

It is a Sophie Germain prime.

Together with 112291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (112249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56144 + 56145.

It is an arithmetic number, because the mean of its divisors is an integer number (56145).

2¹¹²²⁸⁹ is an apocalyptic number.

It is an amenable number.

112289 is a deficient number, since it is larger than the sum of its proper divisors (1).

112289 is an equidigital number, since it uses as much as digits as its factorization.

112289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 23.

The square root of 112289 is about 335.0955087732. The cubic root of 112289 is about 48.2442698592.

The spelling of 112289 in words is "one hundred twelve thousand, two hundred eighty-nine".