114889 has 2 divisors, whose sum is σ = 114890. Its totient is φ = 114888.

The previous prime is 114883. The next prime is 114901. The reversal of 114889 is 988411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100489 + 14400 = 317^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 114889 - 2⁷ = 114761 is a prime.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 114889.

It is not a weakly prime, because it can be changed into another prime (114883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57444 + 57445.

It is an arithmetic number, because the mean of its divisors is an integer number (57445).

2¹¹⁴⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

114889 is a deficient number, since it is larger than the sum of its proper divisors (1).

114889 is an equidigital number, since it uses as much as digits as its factorization.

114889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 31.

The square root of 114889 is about 338.9527990739. The cubic root of 114889 is about 48.6137902802.

It can be divided in two parts, 11 and 4889, that added together give a square (4900 = 70²).

The spelling of 114889 in words is "one hundred fourteen thousand, eight hundred eighty-nine".