289345 has 12 divisors (see below), whose sum is σ = 404244. Its totient is φ = 198240.

The previous prime is 289343. The next prime is 289349. The reversal of 289345 is 543982.

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 94864 = 441^2 + 308^2 .

It is not a de Polignac number, because 289345 - 2¹ = 289343 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 8³ + 3¹¹ + 9³ + 4³ + 5⁷ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289343) 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 11 ways as a sum of consecutive naturals, for example, 346 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (33687).

2²⁸⁹³⁴⁵ is an apocalyptic number.

It is an amenable number.

289345 is a deficient number, since it is larger than the sum of its proper divisors (114899).

289345 is a wasteful number, since it uses less digits than its factorization.

289345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1193 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 289345 is about 537.9079846963. The cubic root of 289345 is about 66.1411884160.

The spelling of 289345 in words is "two hundred eighty-nine thousand, three hundred forty-five".