289361 has 2 divisors, whose sum is σ = 289362. Its totient is φ = 289360.

The previous prime is 289349. The next prime is 289369. The reversal of 289361 is 163982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286225 + 3136 = 535^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 289361 - 2⁶ = 289297 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144680 + 144681.

It is an arithmetic number, because the mean of its divisors is an integer number (144681).

2²⁸⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

289361 is a deficient number, since it is larger than the sum of its proper divisors (1).

289361 is an equidigital number, since it uses as much as digits as its factorization.

289361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 29.

The square root of 289361 is about 537.9228569228. The cubic root of 289361 is about 66.1424075368.

It can be divided in two parts, 289 and 361, that multiplied together give a square (104329 = 323²).

The spelling of 289361 in words is "two hundred eighty-nine thousand, three hundred sixty-one".