Search a number
-
+
114689 is a prime number
BaseRepresentation
bin11100000000000001
312211022202
4130000001
512132224
62242545
7655241
oct340001
9184282
10114689
1179193
1256455
1340283
142db21
1523eae
hex1c001

114689 has 2 divisors, whose sum is σ = 114690. Its totient is φ = 114688.

The previous prime is 114679. The next prime is 114691. The reversal of 114689 is 986411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 47089 = 260^2 + 217^2 .

It is an emirp because it is prime and its reverse (986411) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114689 is a prime.

Together with 114691, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (114649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57344 + 57345.

It is an arithmetic number, because the mean of its divisors is an integer number (57345).

It is a Proth number, since it is equal to 7 ⋅ 214 + 1 and 7 < 214.

2114689 is an apocalyptic number.

It is an amenable number.

114689 is a deficient number, since it is larger than the sum of its proper divisors (1).

114689 is an equidigital number, since it uses as much as digits as its factorization.

114689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 29.

The square root of 114689 is about 338.6576442368. The cubic root of 114689 is about 48.5855647600.

The spelling of 114689 in words is "one hundred fourteen thousand, six hundred eighty-nine".