34959 has 8 divisors (see below), whose sum is σ = 47872. Its totient is φ = 22680.

The previous prime is 34949. The next prime is 34961. The reversal of 34959 is 95943.

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

It is not a de Polignac number, because 34959 - 2⁸ = 34703 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

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 34959.

It is not an unprimeable number, because it can be changed into a prime (34919) 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, 7 + ... + 264.

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

2³⁴⁹⁵⁹ is an apocalyptic number.

34959 is a deficient number, since it is larger than the sum of its proper divisors (12913).

34959 is a wasteful number, since it uses less digits than its factorization.

34959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317.

The product of its digits is 4860, while the sum is 30.

The square root of 34959 is about 186.9732601203. The cubic root of 34959 is about 32.6978853761.

The spelling of 34959 in words is "thirty-four thousand, nine hundred fifty-nine".