114515201 has 2 divisors, whose sum is σ = 114515202. Its totient is φ = 114515200.

The previous prime is 114515189. The next prime is 114515207. The reversal of 114515201 is 102515411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75777025 + 38738176 = 8705^2 + 6224^2 .

It is an emirp because it is prime and its reverse (102515411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114515201 is a prime.

It is a super-2 number, since 2×114515201² = 26227462520140802, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114515207) 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, 57257600 + 57257601.

It is an arithmetic number, because the mean of its divisors is an integer number (57257601).

Almost surely, 2^114515201 is an apocalyptic number.

It is an amenable number.

114515201 is a deficient number, since it is larger than the sum of its proper divisors (1).

114515201 is an equidigital number, since it uses as much as digits as its factorization.

114515201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 114515201 is about 10701.1775520267. The cubic root of 114515201 is about 485.6101026467.

The spelling of 114515201 in words is "one hundred fourteen million, five hundred fifteen thousand, two hundred one".