289936 has 10 divisors (see below), whose sum is σ = 561782. Its totient is φ = 144960.

The previous prime is 289897. The next prime is 289937. The reversal of 289936 is 639982.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 59536 = 480^2 + 244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 289895 and 289904.

It is not an unprimeable number, because it can be changed into a prime (289937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9045 + ... + 9076.

2²⁸⁹⁹³⁶ is an apocalyptic number.

It is an amenable number.

289936 is a deficient number, since it is larger than the sum of its proper divisors (271846).

289936 is a wasteful number, since it uses less digits than its factorization.

289936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129 (or 18123 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 289936 is about 538.4570549264. The cubic root of 289936 is about 66.1861898947.

It can be divided in two parts, 289 and 936, that added together give a triangular number (1225 = T₄₉).

The spelling of 289936 in words is "two hundred eighty-nine thousand, nine hundred thirty-six".