112966517 has 2 divisors, whose sum is σ = 112966518. Its totient is φ = 112966516.

The previous prime is 112966499. The next prime is 112966519. The reversal of 112966517 is 715669211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83795716 + 29170801 = 9154^2 + 5401^2 .

It is a cyclic number.

It is not a de Polignac number, because 112966517 - 2¹⁴ = 112950133 is a prime.

It is a super-2 number, since 2×112966517² = 25522867926222578, which contains 22 as substring.

Together with 112966519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112966519) 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 as a sum of consecutive naturals, namely, 56483258 + 56483259.

It is an arithmetic number, because the mean of its divisors is an integer number (56483259).

Almost surely, 2^112966517 is an apocalyptic number.

It is an amenable number.

112966517 is a deficient number, since it is larger than the sum of its proper divisors (1).

112966517 is an equidigital number, since it uses as much as digits as its factorization.

112966517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 38.

The square root of 112966517 is about 10628.5707882104. The cubic root of 112966517 is about 483.4110568099.

The spelling of 112966517 in words is "one hundred twelve million, nine hundred sixty-six thousand, five hundred seventeen".