112249 has 2 divisors, whose sum is σ = 112250. Its totient is φ = 112248.

The previous prime is 112247. The next prime is 112253. The reversal of 112249 is 942211.

112249 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 2025 = 332^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 112249 - 2¹ = 112247 is a prime.

Together with 112247, it forms a pair of twin primes.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (112241) 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, 56124 + 56125.

It is an arithmetic number, because the mean of its divisors is an integer number (56125).

2¹¹²²⁴⁹ is an apocalyptic number.

It is an amenable number.

112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

112249 is an equidigital number, since it uses as much as digits as its factorization.

112249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 19.

The square root of 112249 is about 335.0358189806. The cubic root of 112249 is about 48.2385405952.

It can be divided in two parts, 112 and 249, that added together give a square (361 = 19²).

The spelling of 112249 in words is "one hundred twelve thousand, two hundred forty-nine".