289773 has 12 divisors (see below), whose sum is σ = 456768. Its totient is φ = 175560.

The previous prime is 289771. The next prime is 289789. The reversal of 289773 is 377982.

It is not a de Polignac number, because 289773 - 2¹ = 289771 is a prime.

289773 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289773.

It is not an unprimeable number, because it can be changed into a prime (289771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1365 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (38064).

2²⁸⁹⁷⁷³ is an apocalyptic number.

It is an amenable number.

289773 is a deficient number, since it is larger than the sum of its proper divisors (166995).

289773 is a wasteful number, since it uses less digits than its factorization.

289773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2941 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 289773 is about 538.3056752441. The cubic root of 289773 is about 66.1737844313.

Subtracting 289773 from its reverse (377982), we obtain a square (88209 = 297²).

It can be divided in two parts, 28 and 9773, that added together give a square (9801 = 99²).

The spelling of 289773 in words is "two hundred eighty-nine thousand, seven hundred seventy-three".