289938 has 32 divisors (see below), whose sum is σ = 663552. Its totient is φ = 83600.

The previous prime is 289937. The next prime is 289951. The reversal of 289938 is 839982.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 289896 and 289905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423 + ... + 1613.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2²⁸⁹⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331776).

289938 is an abundant number, since it is smaller than the sum of its proper divisors (373614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289938 is a wasteful number, since it uses less digits than its factorization.

289938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its digits is 31104, while the sum is 39.

The square root of 289938 is about 538.4589120815. The cubic root of 289938 is about 66.1863420801.

The spelling of 289938 in words is "two hundred eighty-nine thousand, nine hundred thirty-eight".