114401257 has 2 divisors, whose sum is σ = 114401258. Its totient is φ = 114401256.

The previous prime is 114401233. The next prime is 114401263. The reversal of 114401257 is 752104411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84107241 + 30294016 = 9171^2 + 5504^2 .

It is a cyclic number.

It is not a de Polignac number, because 114401257 - 2¹⁹ = 113876969 is a prime.

It is not a weakly prime, because it can be changed into another prime (114401207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57200628 + 57200629.

It is an arithmetic number, because the mean of its divisors is an integer number (57200629).

Almost surely, 2^114401257 is an apocalyptic number.

It is an amenable number.

114401257 is a deficient number, since it is larger than the sum of its proper divisors (1).

114401257 is an equidigital number, since it uses as much as digits as its factorization.

114401257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 114401257 is about 10695.8523269537. The cubic root of 114401257 is about 485.4489865697.

Adding to 114401257 its reverse (752104411), we get a palindrome (866505668).

The spelling of 114401257 in words is "one hundred fourteen million, four hundred one thousand, two hundred fifty-seven".