112972319 has 2 divisors, whose sum is σ = 112972320. Its totient is φ = 112972318.

The previous prime is 112972283. The next prime is 112972337. The reversal of 112972319 is 913279211.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112972319 - 2²⁰ = 111923743 is a prime.

It is a super-2 number, since 2×112972319² = 25525489720475522, which contains 22 as substring.

It is equal to p_6463547 and since 112972319 and 6463547 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112972369) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56486159 + 56486160.

It is an arithmetic number, because the mean of its divisors is an integer number (56486160).

Almost surely, 2^112972319 is an apocalyptic number.

112972319 is a deficient number, since it is larger than the sum of its proper divisors (1).

112972319 is an equidigital number, since it uses as much as digits as its factorization.

112972319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 35.

The square root of 112972319 is about 10628.8437282707. The cubic root of 112972319 is about 483.4193327221.

The spelling of 112972319 in words is "one hundred twelve million, nine hundred seventy-two thousand, three hundred nineteen".