800289 has 12 divisors (see below), whose sum is σ = 1321216. Its totient is φ = 457272.

The previous prime is 800287. The next prime is 800291. The reversal of 800289 is 982008.

800289 is digitally balanced in base 7, 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 (800287) and next prime (800291).

It is not a de Polignac number, because 800289 - 2¹ = 800287 is a prime.

It is a Duffinian number.

800289 is strictly pandigital in base 7.

800289 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (800281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6289 + ... + 6414.

2⁸⁰⁰²⁸⁹ is an apocalyptic number.

It is an amenable number.

800289 is a deficient number, since it is larger than the sum of its proper divisors (520927).

800289 is a wasteful number, since it uses less digits than its factorization.

800289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800289 is about 894.5887323234. The cubic root of 800289 is about 92.8429538196.

It can be divided in two parts, 800 and 289, that added together give a square (1089 = 33²).

The spelling of 800289 in words is "eight hundred thousand, two hundred eighty-nine".