289772 has 24 divisors (see below), whose sum is σ = 591360. Its totient is φ = 121680.

The previous prime is 289771. The next prime is 289789. The reversal of 289772 is 277982.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289772.

It is not an unprimeable number, because it can be changed into a prime (289771) 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 7 ways as a sum of consecutive naturals, for example, 2147 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2²⁸⁹⁷⁷² is an apocalyptic number.

It is an amenable number.

289772 is an abundant number, since it is smaller than the sum of its proper divisors (301588).

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

289772 is a wasteful number, since it uses less digits than its factorization.

289772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 289772 is about 538.3047464030. The cubic root of 289772 is about 66.1737083098.

The spelling of 289772 in words is "two hundred eighty-nine thousand, seven hundred seventy-two".