112960991 has 16 divisors (see below), whose sum is σ = 133687680. Its totient is φ = 94093920.

The previous prime is 112960961. The next prime is 112960997. The reversal of 112960991 is 199069211.

It is a cyclic number.

It is not a de Polignac number, because 112960991 - 2⁶ = 112960927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112960997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17036 + ... + 22718.

It is an arithmetic number, because the mean of its divisors is an integer number (8355480).

Almost surely, 2^112960991 is an apocalyptic number.

112960991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112960991 is a deficient number, since it is larger than the sum of its proper divisors (20726689).

112960991 is a wasteful number, since it uses less digits than its factorization.

112960991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846.

The product of its (nonzero) digits is 8748, while the sum is 38.

The square root of 112960991 is about 10628.3108253381. The cubic root of 112960991 is about 483.4031743177.

The spelling of 112960991 in words is "one hundred twelve million, nine hundred sixty thousand, nine hundred ninety-one".