114351257 has 2 divisors, whose sum is σ = 114351258. Its totient is φ = 114351256.

The previous prime is 114351247. The next prime is 114351311. The reversal of 114351257 is 752153411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114147856 + 203401 = 10684^2 + 451^2 .

It is an emirp because it is prime and its reverse (752153411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114351257 - 2⁴ = 114351241 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114351217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57175628 + 57175629.

It is an arithmetic number, because the mean of its divisors is an integer number (57175629).

Almost surely, 2^114351257 is an apocalyptic number.

It is an amenable number.

114351257 is a deficient number, since it is larger than the sum of its proper divisors (1).

114351257 is an equidigital number, since it uses as much as digits as its factorization.

114351257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4200, while the sum is 29.

The square root of 114351257 is about 10693.5147168740. The cubic root of 114351257 is about 485.3782531210.

The spelling of 114351257 in words is "one hundred fourteen million, three hundred fifty-one thousand, two hundred fifty-seven".