289121 has 8 divisors (see below), whose sum is σ = 334464. Its totient is φ = 244800.

The previous prime is 289111. The next prime is 289127. The reversal of 289121 is 121982.

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 289121 - 2¹⁴ = 272737 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289121.

It is not an unprimeable number, because it can be changed into a prime (289127) 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, 521 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (41808).

2²⁸⁹¹²¹ is an apocalyptic number.

It is an amenable number.

289121 is a deficient number, since it is larger than the sum of its proper divisors (45343).

289121 is a wasteful number, since it uses less digits than its factorization.

289121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511.

The product of its digits is 288, while the sum is 23.

The square root of 289121 is about 537.6997303328. The cubic root of 289121 is about 66.1241160041.

It can be divided in two parts, 289 and 121, that multiplied together give a square (34969 = 187²).

The spelling of 289121 in words is "two hundred eighty-nine thousand, one hundred twenty-one".