112083985 has 32 divisors (see below), whose sum is σ = 151633440. Its totient is φ = 78962688.

The previous prime is 112083973. The next prime is 112084001. The reversal of 112083985 is 589380211.

It can be written as a sum of positive squares in 16 ways, for example, as 83010321 + 29073664 = 9111^2 + 5392^2 .

It is a cyclic number.

It is not a de Polignac number, because 112083985 - 2⁵ = 112083953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182539 + ... + 183151.

It is an arithmetic number, because the mean of its divisors is an integer number (4738545).

Almost surely, 2^112083985 is an apocalyptic number.

It is an amenable number.

112083985 is a deficient number, since it is larger than the sum of its proper divisors (39549455).

112083985 is a wasteful number, since it uses less digits than its factorization.

112083985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 112083985 is about 10586.9724189685. The cubic root of 112083985 is about 482.1489083256.

The spelling of 112083985 in words is "one hundred twelve million, eighty-three thousand, nine hundred eighty-five".