289941 has 8 divisors (see below), whose sum is σ = 390144. Its totient is φ = 191520.

The previous prime is 289937. The next prime is 289951. The reversal of 289941 is 149982.

289941 is a nontrivial binomial coefficient, being equal to C(762, 2).

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

It is not a de Polignac number, because 289941 - 2² = 289937 is a prime.

It is a Curzon number.

289941 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289951) 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, 1 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (48768).

It is a Poulet number, since it divides 2²⁸⁹⁹⁴⁰-1.

2²⁸⁹⁹⁴¹ is an apocalyptic number.

289941 is the 761-st triangular number and also the 381-st hexagonal number.

It is an amenable number.

289941 is a deficient number, since it is larger than the sum of its proper divisors (100203).

289941 is a wasteful number, since it uses less digits than its factorization.

289941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891.

The product of its digits is 5184, while the sum is 33.

The square root of 289941 is about 538.4616978022. The cubic root of 289941 is about 66.1865703568.

The spelling of 289941 in words is "two hundred eighty-nine thousand, nine hundred forty-one".