34809 has 8 divisors (see below), whose sum is σ = 47712. Its totient is φ = 22560.

The previous prime is 34807. The next prime is 34819. The reversal of 34809 is 90843.

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

It is not a de Polignac number, because 34809 - 2¹ = 34807 is a prime.

34809 is a lucky number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34809.

It is not an unprimeable number, because it can be changed into a prime (34807) 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, 19 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (5964).

2³⁴⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

34809 is a deficient number, since it is larger than the sum of its proper divisors (12903).

34809 is a wasteful number, since it uses less digits than its factorization.

34809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 34809 is about 186.5717020344. The cubic root of 34809 is about 32.6510522813.

The spelling of 34809 in words is "thirty-four thousand, eight hundred nine".