113806289 has 2 divisors, whose sum is σ = 113806290. Its totient is φ = 113806288.

The previous prime is 113806271. The next prime is 113806291. The reversal of 113806289 is 982608311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70140625 + 43665664 = 8375^2 + 6608^2 .

It is a cyclic number.

It is not a de Polignac number, because 113806289 - 2²⁴ = 97029073 is a prime.

Together with 113806291, 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 (113806249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56903144 + 56903145.

It is an arithmetic number, because the mean of its divisors is an integer number (56903145).

Almost surely, 2^113806289 is an apocalyptic number.

It is an amenable number.

113806289 is a deficient number, since it is larger than the sum of its proper divisors (1).

113806289 is an equidigital number, since it uses as much as digits as its factorization.

113806289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 113806289 is about 10668.0030464938. The cubic root of 113806289 is about 484.6059632986.

The spelling of 113806289 in words is "one hundred thirteen million, eight hundred six thousand, two hundred eighty-nine".