289641 has 16 divisors (see below), whose sum is σ = 430848. Its totient is φ = 171600.

The previous prime is 289637. The next prime is 289643. The reversal of 289641 is 146982.

It is not a de Polignac number, because 289641 - 2² = 289637 is a prime.

It is a Curzon number.

289641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 289599 and 289608.

It is not an unprimeable number, because it can be changed into a prime (289643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (26928).

2²⁸⁹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

289641 is a deficient number, since it is larger than the sum of its proper divisors (141207).

289641 is a wasteful number, since it uses less digits than its factorization.

289641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its digits is 3456, while the sum is 30.

The square root of 289641 is about 538.1830543598. The cubic root of 289641 is about 66.1637348796.

It can be divided in two parts, 28 and 9641, that added together give a palindrome (9669).

The spelling of 289641 in words is "two hundred eighty-nine thousand, six hundred forty-one".