289705 has 8 divisors (see below), whose sum is σ = 374472. Its totient is φ = 213888.

The previous prime is 289669. The next prime is 289717. The reversal of 289705 is 507982.

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 274576 = 123^2 + 524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 289705 - 2⁷ = 289577 is a prime.

It is a Duffinian number.

289705 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2164 + ... + 2293.

It is an arithmetic number, because the mean of its divisors is an integer number (46809).

2²⁸⁹⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

289705 is a deficient number, since it is larger than the sum of its proper divisors (84767).

289705 is a wasteful number, since it uses less digits than its factorization.

289705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 289705 is about 538.2425103984. The cubic root of 289705 is about 66.1686077707.

The spelling of 289705 in words is "two hundred eighty-nine thousand, seven hundred five".