289413 has 14 divisors (see below), whose sum is σ = 435014. Its totient is φ = 192456.

The previous prime is 289397. The next prime is 289417. The reversal of 289413 is 314982.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 26244 = 513^2 + 162^2 .

It is not a de Polignac number, because 289413 - 2⁴ = 289397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁹ + 8³ + 4⁹ + 9⁴ + 1 + 3⁹ .

It is a Duffinian number.

It is a Curzon number.

289413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289417) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 531 + ... + 927.

2²⁸⁹⁴¹³ is an apocalyptic number.

It is an amenable number.

289413 is a deficient number, since it is larger than the sum of its proper divisors (145601).

289413 is an frugal number, since it uses more digits than its factorization.

289413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 289413 is about 537.9711888196. The cubic root of 289413 is about 66.1463693690.

The spelling of 289413 in words is "two hundred eighty-nine thousand, four hundred thirteen".