34689 has 8 divisors (see below), whose sum is σ = 47872. Its totient is φ = 22320.

The previous prime is 34687. The next prime is 34693. The reversal of 34689 is 98643.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34689 - 2¹ = 34687 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34687) 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, 94 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (5984).

2³⁴⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

34689 is a deficient number, since it is larger than the sum of its proper divisors (13183).

34689 is a wasteful number, since it uses less digits than its factorization.

34689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 5184, while the sum is 30.

The square root of 34689 is about 186.2498322147. The cubic root of 34689 is about 32.6134888413.

It can be divided in two parts, 346 and 89, that added together give a triangular number (435 = T₂₉).

The spelling of 34689 in words is "thirty-four thousand, six hundred eighty-nine".