114657029 has 2 divisors, whose sum is σ = 114657030. Its totient is φ = 114657028.

The previous prime is 114656989. The next prime is 114657031. The reversal of 114657029 is 920756411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87928129 + 26728900 = 9377^2 + 5170^2 .

It is a cyclic number.

It is not a de Polignac number, because 114657029 - 2²⁴ = 97879813 is a prime.

Together with 114657031, it forms a pair of twin primes.

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 114657029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114657079) 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, 57328514 + 57328515.

It is an arithmetic number, because the mean of its divisors is an integer number (57328515).

Almost surely, 2^114657029 is an apocalyptic number.

It is an amenable number.

114657029 is a deficient number, since it is larger than the sum of its proper divisors (1).

114657029 is an equidigital number, since it uses as much as digits as its factorization.

114657029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 114657029 is about 10707.8022488277. The cubic root of 114657029 is about 485.8104972821.

The spelling of 114657029 in words is "one hundred fourteen million, six hundred fifty-seven thousand, twenty-nine".