112735309 has 2 divisors, whose sum is σ = 112735310. Its totient is φ = 112735308.

The previous prime is 112735289. The next prime is 112735319. The reversal of 112735309 is 903537211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111302500 + 1432809 = 10550^2 + 1197^2 .

It is a cyclic number.

It is not a de Polignac number, because 112735309 - 2¹⁷ = 112604237 is a prime.

It is equal to p_6450754 and since 112735309 and 6450754 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112735319) 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, 56367654 + 56367655.

It is an arithmetic number, because the mean of its divisors is an integer number (56367655).

Almost surely, 2^112735309 is an apocalyptic number.

It is an amenable number.

112735309 is a deficient number, since it is larger than the sum of its proper divisors (1).

112735309 is an equidigital number, since it uses as much as digits as its factorization.

112735309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 112735309 is about 10617.6884960899. The cubic root of 112735309 is about 483.0810332317.

The spelling of 112735309 in words is "one hundred twelve million, seven hundred thirty-five thousand, three hundred nine".