114072641 has 2 divisors, whose sum is σ = 114072642. Its totient is φ = 114072640.

The previous prime is 114072527. The next prime is 114072661. The reversal of 114072641 is 146270411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 863041 = 10640^2 + 929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114072641 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114072641.

It is not a weakly prime, because it can be changed into another prime (114072661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57036320 + 57036321.

It is an arithmetic number, because the mean of its divisors is an integer number (57036321).

Almost surely, 2^114072641 is an apocalyptic number.

It is an amenable number.

114072641 is a deficient number, since it is larger than the sum of its proper divisors (1).

114072641 is an equidigital number, since it uses as much as digits as its factorization.

114072641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 114072641 is about 10680.4794368043. The cubic root of 114072641 is about 484.9837256735.

The spelling of 114072641 in words is "one hundred fourteen million, seventy-two thousand, six hundred forty-one".