113564201 has 2 divisors, whose sum is σ = 113564202. Its totient is φ = 113564200.

The previous prime is 113564153. The next prime is 113564239. The reversal of 113564201 is 102465311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66846976 + 46717225 = 8176^2 + 6835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113564201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113564281) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56782100 + 56782101.

It is an arithmetic number, because the mean of its divisors is an integer number (56782101).

Almost surely, 2^113564201 is an apocalyptic number.

It is an amenable number.

113564201 is a deficient number, since it is larger than the sum of its proper divisors (1).

113564201 is an equidigital number, since it uses as much as digits as its factorization.

113564201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 113564201 is about 10656.6505525892. The cubic root of 113564201 is about 484.2621024761.

The spelling of 113564201 in words is "one hundred thirteen million, five hundred sixty-four thousand, two hundred one".