34989 has 8 divisors (see below), whose sum is σ = 47520. Its totient is φ = 22896.

The previous prime is 34981. The next prime is 35023. The reversal of 34989 is 98943.

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

It is not a de Polignac number, because 34989 - 2³ = 34981 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 4² + 9 + 8⁵ + 9 .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2³⁴⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

34989 is a deficient number, since it is larger than the sum of its proper divisors (12531).

34989 is a wasteful number, since it uses less digits than its factorization.

34989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its digits is 7776, while the sum is 33.

The square root of 34989 is about 187.0534682918. The cubic root of 34989 is about 32.7072359114.

The spelling of 34989 in words is "thirty-four thousand, nine hundred eighty-nine".