34409 has 4 divisors (see below), whose sum is σ = 36240. Its totient is φ = 32580.

The previous prime is 34403. The next prime is 34421. The reversal of 34409 is 90443.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 90443 = 149 ⋅607.

It is a cyclic number.

It is not a de Polignac number, because 34409 - 2¹² = 30313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34403) 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 3 ways as a sum of consecutive naturals, for example, 887 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (9060).

2³⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

34409 is a deficient number, since it is larger than the sum of its proper divisors (1831).

34409 is a wasteful number, since it uses less digits than its factorization.

34409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34409 is about 185.4966306972. The cubic root of 34409 is about 32.5255026653.

The spelling of 34409 in words is "thirty-four thousand, four hundred nine".