114837257 has 8 divisors (see below), whose sum is σ = 115683552. Its totient is φ = 113994400.

The previous prime is 114837241. The next prime is 114837293. The reversal of 114837257 is 752738411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114837257 - 2⁴ = 114837241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114837257.

It is not an unprimeable number, because it can be changed into a prime (114837157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117782 + ... + 118752.

It is an arithmetic number, because the mean of its divisors is an integer number (14460444).

Almost surely, 2^114837257 is an apocalyptic number.

It is an amenable number.

114837257 is a deficient number, since it is larger than the sum of its proper divisors (846295).

114837257 is an equidigital number, since it uses as much as digits as its factorization.

114837257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719.

The product of its digits is 47040, while the sum is 38.

The square root of 114837257 is about 10716.2146768344. The cubic root of 114837257 is about 486.0649105780.

The spelling of 114837257 in words is "one hundred fourteen million, eight hundred thirty-seven thousand, two hundred fifty-seven".