289393 has 8 divisors (see below), whose sum is σ = 316008. Its totient is φ = 263424.

The previous prime is 289381. The next prime is 289397. The reversal of 289393 is 393982.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 278784 = 103^2 + 528^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 289393 - 2⁵ = 289361 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1371 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (39501).

2²⁸⁹³⁹³ is an apocalyptic number.

It is an amenable number.

289393 is a deficient number, since it is larger than the sum of its proper divisors (26615).

289393 is a wasteful number, since it uses less digits than its factorization.

289393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its digits is 11664, while the sum is 34.

The square root of 289393 is about 537.9526001424. The cubic root of 289393 is about 66.1448456435.

Subtracting from 289393 its product of digits (11664), we obtain a square (277729 = 527²).

The spelling of 289393 in words is "two hundred eighty-nine thousand, three hundred ninety-three".