112735337 has 36 divisors (see below), whose sum is σ = 138732300. Its totient is φ = 91428480.

The previous prime is 112735333. The next prime is 112735349. The reversal of 112735337 is 733537211.

It can be written as a sum of positive squares in 6 ways, for example, as 15594601 + 97140736 = 3949^2 + 9856^2 .

It is not a de Polignac number, because 112735337 - 2² = 112735333 is a prime.

It is a Duffinian number.

Its product of digits (13230) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (112735333) 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 in 35 ways as a sum of consecutive naturals, for example, 756539 + ... + 756687.

It is an arithmetic number, because the mean of its divisors is an integer number (3853675).

Almost surely, 2^112735337 is an apocalyptic number.

It is an amenable number.

112735337 is a deficient number, since it is larger than the sum of its proper divisors (25996963).

112735337 is a wasteful number, since it uses less digits than its factorization.

112735337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its digits is 13230, while the sum is 32.

The square root of 112735337 is about 10617.6898146442. The cubic root of 112735337 is about 483.0810732259.

The spelling of 112735337 in words is "one hundred twelve million, seven hundred thirty-five thousand, three hundred thirty-seven".