112964081 has 2 divisors, whose sum is σ = 112964082. Its totient is φ = 112964080.

The previous prime is 112964039. The next prime is 112964083. The reversal of 112964081 is 180469211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83631025 + 29333056 = 9145^2 + 5416^2 .

It is a cyclic number.

It is not a de Polignac number, because 112964081 - 2¹⁰ = 112963057 is a prime.

It is a super-2 number, since 2×112964081² = 25521767192349122, which contains 22 as substring.

Together with 112964083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112964083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56482040 + 56482041.

It is an arithmetic number, because the mean of its divisors is an integer number (56482041).

Almost surely, 2^112964081 is an apocalyptic number.

It is an amenable number.

112964081 is a deficient number, since it is larger than the sum of its proper divisors (1).

112964081 is an equidigital number, since it uses as much as digits as its factorization.

112964081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 112964081 is about 10628.4561908115. The cubic root of 112964081 is about 483.4075820404.

The spelling of 112964081 in words is "one hundred twelve million, nine hundred sixty-four thousand, eighty-one".