289913 has 8 divisors (see below), whose sum is σ = 323400. Its totient is φ = 258048.

The previous prime is 289897. The next prime is 289937. The reversal of 289913 is 319982.

It can be written as a sum of positive squares in 4 ways, for example, as 6889 + 283024 = 83^2 + 532^2 .

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 289913 - 2⁴ = 289897 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 289913.

It is not an unprimeable number, because it can be changed into a prime (289973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (40425).

2²⁸⁹⁹¹³ is an apocalyptic number.

It is an amenable number.

289913 is a deficient number, since it is larger than the sum of its proper divisors (33487).

289913 is a wasteful number, since it uses less digits than its factorization.

289913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811.

The product of its digits is 3888, while the sum is 32.

The square root of 289913 is about 538.4356971821. The cubic root of 289913 is about 66.1844397123.

The spelling of 289913 in words is "two hundred eighty-nine thousand, nine hundred thirteen".