34289 has 4 divisors (see below), whose sum is σ = 36324. Its totient is φ = 32256.

The previous prime is 34283. The next prime is 34297. The reversal of 34289 is 98243.

34289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 98243 = 17 ⋅5779.

It can be written as a sum of positive squares in 2 ways, for example, as 27889 + 6400 = 167^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 34289 - 2⁴ = 34273 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 992 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (9081).

2³⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

34289 is a deficient number, since it is larger than the sum of its proper divisors (2035).

34289 is a wasteful number, since it uses less digits than its factorization.

34289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034.

The product of its digits is 1728, while the sum is 26.

The square root of 34289 is about 185.1728921846. The cubic root of 34289 is about 32.4876481662.

It can be divided in two parts, 34 and 289, that added together give a palindrome (323).

The spelling of 34289 in words is "thirty-four thousand, two hundred eighty-nine".