289314 has 12 divisors (see below), whose sum is σ = 626886. Its totient is φ = 96432.

The previous prime is 289309. The next prime is 289319. The reversal of 289314 is 413982.

289314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (289309) and next prime (289319).

It can be written as a sum of positive squares in only one way, i.e., 275625 + 13689 = 525^2 + 117^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289314.

It is not an unprimeable number, because it can be changed into a prime (289319) 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 in 5 ways as a sum of consecutive naturals, for example, 8019 + ... + 8054.

2²⁸⁹³¹⁴ is an apocalyptic number.

289314 is an abundant number, since it is smaller than the sum of its proper divisors (337572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289314 is a wasteful number, since it uses less digits than its factorization.

289314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16081 (or 16078 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 289314 is about 537.8791685871. The cubic root of 289314 is about 66.1388262416.

The spelling of 289314 in words is "two hundred eighty-nine thousand, three hundred fourteen".