289944 has 24 divisors (see below), whose sum is σ = 785460. Its totient is φ = 96624.

The previous prime is 289937. The next prime is 289951. The reversal of 289944 is 449982.

It is a happy number.

289944 is digitally balanced in base 3, 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 (289937) and next prime (289951).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 289899 and 289908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1942 + ... + 2085.

2²⁸⁹⁹⁴⁴ is an apocalyptic number.

289944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289944 is an abundant number, since it is smaller than the sum of its proper divisors (495516).

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

289944 is a wasteful number, since it uses less digits than its factorization.

289944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4032 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 289944 is about 538.4644835084. The cubic root of 289944 is about 66.1867986320.

The spelling of 289944 in words is "two hundred eighty-nine thousand, nine hundred forty-four".