289352 has 16 divisors (see below), whose sum is σ = 620160. Its totient is φ = 123984.

The previous prime is 289349. The next prime is 289361. The reversal of 289352 is 253982.

It is a nialpdrome in base 14.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 2528 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (38760).

289352 is a Friedman number, since it can be written as 538^2-92, using all its digits and the basic arithmetic operations.

2²⁸⁹³⁵² is an apocalyptic number.

It is an amenable number.

289352 is an abundant number, since it is smaller than the sum of its proper divisors (330808).

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

289352 is a wasteful number, since it uses less digits than its factorization.

289352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5176 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 289352 is about 537.9144913460. The cubic root of 289352 is about 66.1417217869.

The spelling of 289352 in words is "two hundred eighty-nine thousand, three hundred fifty-two".