112964643 has 24 divisors (see below), whose sum is σ = 188478576. Its totient is φ = 64435200.

The previous prime is 112964639. The next prime is 112964647. The reversal of 112964643 is 346469211.

112964643 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 4 + 643 = 666.

It is an interprime number because it is at equal distance from previous prime (112964639) and next prime (112964647).

It is not a de Polignac number, because 112964643 - 2² = 112964639 is a prime.

It is a super-2 number, since 2×112964643² = 25522021136234898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112964598 and 112964607.

It is not an unprimeable number, because it can be changed into a prime (112964647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31878 + ... + 35243.

It is an arithmetic number, because the mean of its divisors is an integer number (7853274).

Almost surely, 2^112964643 is an apocalyptic number.

112964643 is a deficient number, since it is larger than the sum of its proper divisors (75513933).

112964643 is a wasteful number, since it uses less digits than its factorization.

112964643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67155 (or 67152 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 112964643 is about 10628.4826292373. The cubic root of 112964643 is about 483.4083836953.

The spelling of 112964643 in words is "one hundred twelve million, nine hundred sixty-four thousand, six hundred forty-three".