289792 has 22 divisors (see below), whose sum is σ = 581348. Its totient is φ = 144384.

The previous prime is 289789. The next prime is 289837. The reversal of 289792 is 297982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 883 + ... + 1165.

2²⁸⁹⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290674).

289792 is an abundant number, since it is smaller than the sum of its proper divisors (291556).

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

289792 is an equidigital number, since it uses as much as digits as its factorization.

289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 289792 is about 538.3233229203. The cubic root of 289792 is about 66.1752307064.

It can be divided in two parts, 289 and 792, that added together give a triangular number (1081 = T₄₆).

The spelling of 289792 in words is "two hundred eighty-nine thousand, seven hundred ninety-two".