34349 has 6 divisors (see below), whose sum is σ = 40014. Its totient is φ = 29400.

The previous prime is 34337. The next prime is 34351. The reversal of 34349 is 94343.

34349 = 106² + 107² + 108².

It can be written as a sum of positive squares in only one way, i.e., 33124 + 1225 = 182^2 + 35^2 .

It is not a de Polignac number, because 34349 - 2¹² = 30253 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34319) 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 5 ways as a sum of consecutive naturals, for example, 302 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

2³⁴³⁴⁹ is an apocalyptic number.

It is an amenable number.

34349 is a deficient number, since it is larger than the sum of its proper divisors (5665).

34349 is an equidigital number, since it uses as much as digits as its factorization.

34349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 34349 is about 185.3348321282. The cubic root of 34349 is about 32.5065864363.

It can be divided in two parts, 3434 and 9, that added together give a palindrome (3443).

The spelling of 34349 in words is "thirty-four thousand, three hundred forty-nine".