112819241 has 2 divisors, whose sum is σ = 112819242. Its totient is φ = 112819240.

The previous prime is 112819183. The next prime is 112819243. The reversal of 112819241 is 142918211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58369600 + 54449641 = 7640^2 + 7379^2 .

It is a cyclic number.

It is not a de Polignac number, because 112819241 - 2⁶ = 112819177 is a prime.

It is a super-2 number, since 2×112819241² = 25456362279632162, which contains 22 as substring.

Together with 112819243, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6455306 and since 112819241 and 6455306 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (112819243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56409620 + 56409621.

It is an arithmetic number, because the mean of its divisors is an integer number (56409621).

Almost surely, 2^112819241 is an apocalyptic number.

It is an amenable number.

112819241 is a deficient number, since it is larger than the sum of its proper divisors (1).

112819241 is an equidigital number, since it uses as much as digits as its factorization.

112819241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 29.

The square root of 112819241 is about 10621.6402217360. The cubic root of 112819241 is about 483.2008889054.

The spelling of 112819241 in words is "one hundred twelve million, eight hundred nineteen thousand, two hundred forty-one".