112406729 has 2 divisors, whose sum is σ = 112406730. Its totient is φ = 112406728.

The previous prime is 112406699. The next prime is 112406731. The reversal of 112406729 is 927604211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57350329 + 55056400 = 7573^2 + 7420^2 .

It is a cyclic number.

It is not a de Polignac number, because 112406729 - 2²⁰ = 111358153 is a prime.

Together with 112406731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 112406695 and 112406704.

It is not a weakly prime, because it can be changed into another prime (112406759) 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, 56203364 + 56203365.

It is an arithmetic number, because the mean of its divisors is an integer number (56203365).

Almost surely, 2^112406729 is an apocalyptic number.

It is an amenable number.

112406729 is a deficient number, since it is larger than the sum of its proper divisors (1).

112406729 is an equidigital number, since it uses as much as digits as its factorization.

112406729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 112406729 is about 10602.2039689868. The cubic root of 112406729 is about 482.6112448087.

The spelling of 112406729 in words is "one hundred twelve million, four hundred six thousand, seven hundred twenty-nine".