289256 has 32 divisors (see below), whose sum is σ = 626400. Its totient is φ = 123840.

The previous prime is 289253. The next prime is 289273. The reversal of 289256 is 652982.

289256 = T₃₃ + T₃₄ + ... + T₁₂₀.

289256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289256.

It is not an unprimeable number, because it can be changed into a prime (289253) 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, 1586 + ... + 1758.

It is an arithmetic number, because the mean of its divisors is an integer number (19575).

2²⁸⁹²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313200).

289256 is an abundant number, since it is smaller than the sum of its proper divisors (337144).

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

289256 is a wasteful number, since it uses less digits than its factorization.

289256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 289256 is about 537.8252504299. The cubic root of 289256 is about 66.1344062362.

It can be divided in two parts, 289 and 256, that multiplied together give a square (73984 = 272²).

The spelling of 289256 in words is "two hundred eighty-nine thousand, two hundred fifty-six".