289338 has 24 divisors (see below), whose sum is σ = 669408. Its totient is φ = 81672.

The previous prime is 289319. The next prime is 289343. The reversal of 289338 is 833982.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 289299 and 289308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3445 + ... + 3527.

It is an arithmetic number, because the mean of its divisors is an integer number (27892).

2²⁸⁹³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334704).

289338 is an abundant number, since it is smaller than the sum of its proper divisors (380070).

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

289338 is an equidigital number, since it uses as much as digits as its factorization.

289338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 95 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 289338 is about 537.9014779679. The cubic root of 289338 is about 66.1406550365.

Subtracting 289338 from its reverse (833982), we obtain a square (544644 = 738²).

The spelling of 289338 in words is "two hundred eighty-nine thousand, three hundred thirty-eight".