289893 has 8 divisors (see below), whose sum is σ = 392256. Its totient is φ = 190400.

The previous prime is 289889. The next prime is 289897. The reversal of 289893 is 398982.

It is an interprime number because it is at equal distance from previous prime (289889) and next prime (289897).

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 289893 - 2² = 289889 is a prime.

289893 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289897) 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, 468 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (49032).

2²⁸⁹⁸⁹³ is an apocalyptic number.

It is an amenable number.

289893 is a deficient number, since it is larger than the sum of its proper divisors (102363).

289893 is a wasteful number, since it uses less digits than its factorization.

289893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435.

The product of its digits is 31104, while the sum is 39.

The square root of 289893 is about 538.4171245419. The cubic root of 289893 is about 66.1829177393.

The spelling of 289893 in words is "two hundred eighty-nine thousand, eight hundred ninety-three".