34049 has 4 divisors (see below), whose sum is σ = 34560. Its totient is φ = 33540.

The previous prime is 34039. The next prime is 34057. The reversal of 34049 is 94043.

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: 94043 = 157 ⋅599.

It is a cyclic number.

It is not a de Polignac number, because 34049 - 2⁴ = 34033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34049.

It is not an unprimeable number, because it can be changed into a prime (34019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

It is a Proth number, since it is equal to 133 ⋅ 2⁸ + 1 and 133 < 2⁸.

2³⁴⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

34049 is a deficient number, since it is larger than the sum of its proper divisors (511).

34049 is an equidigital number, since it uses as much as digits as its factorization.

34049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510.

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

The square root of 34049 is about 184.5237112135. The cubic root of 34049 is about 32.4116733835.

The spelling of 34049 in words is "thirty-four thousand, forty-nine".