289873 has 4 divisors (see below), whose sum is σ = 293220. Its totient is φ = 286528.

The previous prime is 289871. The next prime is 289889. The reversal of 289873 is 378982.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 378982 = 2 ⋅189491.

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 135424 = 393^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 289873 - 2¹ = 289871 is a prime.

It is a super-2 number, since 2×289873² = 168052712258, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁸ + 8⁴ + 8⁶ + 9 + 7⁵ + 3⁸ .

It is a Duffinian number.

289873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (289871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1540 + ... + 1717.

It is an arithmetic number, because the mean of its divisors is an integer number (73305).

2²⁸⁹⁸⁷³ is an apocalyptic number.

It is an amenable number.

289873 is a deficient number, since it is larger than the sum of its proper divisors (3347).

289873 is an equidigital number, since it uses as much as digits as its factorization.

289873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346.

The product of its digits is 24192, while the sum is 37.

The square root of 289873 is about 538.3985512611. The cubic root of 289873 is about 66.1813956964.

The spelling of 289873 in words is "two hundred eighty-nine thousand, eight hundred seventy-three".