114589 has 8 divisors (see below), whose sum is σ = 124640. Its totient is φ = 104976.

The previous prime is 114577. The next prime is 114593. The reversal of 114589 is 985411.

It is a happy number.

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

It is a 3-Lehmer number, since φ(114589) divides (114589-1)³.

It is a cyclic number.

It is not a de Polignac number, because 114589 - 2⁹ = 114077 is a prime.

114589 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114599) 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 in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 784.

It is an arithmetic number, because the mean of its divisors is an integer number (15580).

2¹¹⁴⁵⁸⁹ is an apocalyptic number.

114589 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

114589 is a deficient number, since it is larger than the sum of its proper divisors (10051).

114589 is a wasteful number, since it uses less digits than its factorization.

114589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its digits is 1440, while the sum is 28.

The square root of 114589 is about 338.5099703111. The cubic root of 114589 is about 48.5714396935.

It can be divided in two parts, 114 and 589, that added together give a triangular number (703 = T₃₇).

The spelling of 114589 in words is "one hundred fourteen thousand, five hundred eighty-nine".