112267817 has 2 divisors, whose sum is σ = 112267818. Its totient is φ = 112267816.

The previous prime is 112267781. The next prime is 112267849. The reversal of 112267817 is 718762211.

Together with previous prime (112267781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74580496 + 37687321 = 8636^2 + 6139^2 .

It is a cyclic number.

It is not a de Polignac number, because 112267817 - 2²² = 108073513 is a prime.

It is a super-3 number, since 3×112267817³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112267867) 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, 56133908 + 56133909.

It is an arithmetic number, because the mean of its divisors is an integer number (56133909).

Almost surely, 2^112267817 is an apocalyptic number.

It is an amenable number.

112267817 is a deficient number, since it is larger than the sum of its proper divisors (1).

112267817 is an equidigital number, since it uses as much as digits as its factorization.

112267817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9408, while the sum is 35.

The square root of 112267817 is about 10595.6508530623. The cubic root of 112267817 is about 482.4123595374.

The spelling of 112267817 in words is "one hundred twelve million, two hundred sixty-seven thousand, eight hundred seventeen".