112735289 has 2 divisors, whose sum is σ = 112735290. Its totient is φ = 112735288.

The previous prime is 112735283. The next prime is 112735309. The reversal of 112735289 is 982537211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69438889 + 43296400 = 8333^2 + 6580^2 .

It is an emirp because it is prime and its reverse (982537211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112735289 - 2⁸ = 112735033 is a prime.

It is not a weakly prime, because it can be changed into another prime (112735283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56367644 + 56367645.

It is an arithmetic number, because the mean of its divisors is an integer number (56367645).

Almost surely, 2^112735289 is an apocalyptic number.

It is an amenable number.

112735289 is a deficient number, since it is larger than the sum of its proper divisors (1).

112735289 is an equidigital number, since it uses as much as digits as its factorization.

112735289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 38.

The square root of 112735289 is about 10617.6875542653. The cubic root of 112735289 is about 483.0810046644.

The spelling of 112735289 in words is "one hundred twelve million, seven hundred thirty-five thousand, two hundred eighty-nine".