114257657 has 2 divisors, whose sum is σ = 114257658. Its totient is φ = 114257656.

The previous prime is 114257639. The next prime is 114257681. The reversal of 114257657 is 756752411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98089216 + 16168441 = 9904^2 + 4021^2 .

It is an emirp because it is prime and its reverse (756752411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114257657 - 2¹² = 114253561 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 114257657.

It is not a weakly prime, because it can be changed into another prime (114257617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57128828 + 57128829.

It is an arithmetic number, because the mean of its divisors is an integer number (57128829).

Almost surely, 2^114257657 is an apocalyptic number.

It is an amenable number.

114257657 is a deficient number, since it is larger than the sum of its proper divisors (1).

114257657 is an equidigital number, since it uses as much as digits as its factorization.

114257657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58800, while the sum is 38.

The square root of 114257657 is about 10689.1373365674. The cubic root of 114257657 is about 485.2457846579.

The spelling of 114257657 in words is "one hundred fourteen million, two hundred fifty-seven thousand, six hundred fifty-seven".