289431 has 6 divisors (see below), whose sum is σ = 418080. Its totient is φ = 192948.

The previous prime is 289423. The next prime is 289439. The reversal of 289431 is 134982.

It is an interprime number because it is at equal distance from previous prime (289423) and next prime (289439).

It is not a de Polignac number, because 289431 - 2³ = 289423 is a prime.

It is a super-2 number, since 2×289431² = 167540607522, which contains 22 as substring.

289431 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 289395 and 289404.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289431.

It is not an unprimeable number, because it can be changed into a prime (289439) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16071 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (69680).

2²⁸⁹⁴³¹ is an apocalyptic number.

289431 is a deficient number, since it is larger than the sum of its proper divisors (128649).

289431 is a wasteful number, since it uses less digits than its factorization.

289431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32165 (or 32162 counting only the distinct ones).

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

The square root of 289431 is about 537.9879180800. The cubic root of 289431 is about 66.1477406619.

Subtracting from 289431 its reverse (134982), we obtain a square (154449 = 393²).

The spelling of 289431 in words is "two hundred eighty-nine thousand, four hundred thirty-one".