114057337 has 2 divisors, whose sum is σ = 114057338. Its totient is φ = 114057336.

The previous prime is 114057329. The next prime is 114057389. The reversal of 114057337 is 733750411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111112681 + 2944656 = 10541^2 + 1716^2 .

It is an emirp because it is prime and its reverse (733750411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114057337 - 2³ = 114057329 is a prime.

It is a super-2 number, since 2×114057337² = 26018152247063138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114057299 and 114057308.

It is not a weakly prime, because it can be changed into another prime (114057037) 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, 57028668 + 57028669.

It is an arithmetic number, because the mean of its divisors is an integer number (57028669).

Almost surely, 2^114057337 is an apocalyptic number.

It is an amenable number.

114057337 is a deficient number, since it is larger than the sum of its proper divisors (1).

114057337 is an equidigital number, since it uses as much as digits as its factorization.

114057337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 114057337 is about 10679.7629655344. The cubic root of 114057337 is about 484.9620362108.

The spelling of 114057337 in words is "one hundred fourteen million, fifty-seven thousand, three hundred thirty-seven".