289261 has 12 divisors (see below), whose sum is σ = 349536. Its totient is φ = 234360.

The previous prime is 289253. The next prime is 289273. The reversal of 289261 is 162982.

It is a happy number.

289261 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 289261 - 2³ = 289253 is a prime.

It is a super-2 number, since 2×289261² = 167343852242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6706 + ... + 6748.

It is an arithmetic number, because the mean of its divisors is an integer number (29128).

2²⁸⁹²⁶¹ is an apocalyptic number.

It is an amenable number.

289261 is a deficient number, since it is larger than the sum of its proper divisors (60275).

289261 is an equidigital number, since it uses as much as digits as its factorization.

289261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 289261 is about 537.8298987598. The cubic root of 289261 is about 66.1347872944.

The spelling of 289261 in words is "two hundred eighty-nine thousand, two hundred sixty-one".