115765201 has 2 divisors, whose sum is σ = 115765202. Its totient is φ = 115765200.

The previous prime is 115765151. The next prime is 115765231. The reversal of 115765201 is 102567511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74805201 + 40960000 = 8649^2 + 6400^2 .

It is a cyclic number.

It is not a de Polignac number, because 115765201 - 2¹⁹ = 115240913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115765201.

It is not a weakly prime, because it can be changed into another prime (115765231) 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, 57882600 + 57882601.

It is an arithmetic number, because the mean of its divisors is an integer number (57882601).

Almost surely, 2^115765201 is an apocalyptic number.

It is an amenable number.

115765201 is a deficient number, since it is larger than the sum of its proper divisors (1).

115765201 is an equidigital number, since it uses as much as digits as its factorization.

115765201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 115765201 is about 10759.4238228634. The cubic root of 115765201 is about 487.3706179553.

The spelling of 115765201 in words is "one hundred fifteen million, seven hundred sixty-five thousand, two hundred one".