112756365 has 24 divisors (see below), whose sum is σ = 198653208. Its totient is φ = 59149440.

The previous prime is 112756333. The next prime is 112756367. The reversal of 112756365 is 563657211.

112756365 is a `hidden beast` number, since 1 + 12 + 7 + 5 + 636 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8838729 + 103917636 = 2973^2 + 10194^2 .

It is not a de Polignac number, because 112756365 - 2⁵ = 112756333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112756367) 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 23 ways as a sum of consecutive naturals, for example, 17794 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (8277217).

Almost surely, 2^112756365 is an apocalyptic number.

112756365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112756365 is a deficient number, since it is larger than the sum of its proper divisors (85896843).

112756365 is a wasteful number, since it uses less digits than its factorization.

112756365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41149 (or 41146 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 112756365 is about 10618.6800027122. The cubic root of 112756365 is about 483.1111069833. Note that the first 4 decimals are identical.

The spelling of 112756365 in words is "one hundred twelve million, seven hundred fifty-six thousand, three hundred sixty-five".