34084 has 6 divisors (see below), whose sum is σ = 59654. Its totient is φ = 17040.

The previous prime is 34061. The next prime is 34123. The reversal of 34084 is 48043.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 5184 = 170^2 + 72^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

34084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4257 + ... + 4264.

2³⁴⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

34084 is a deficient number, since it is larger than the sum of its proper divisors (25570).

34084 is a wasteful number, since it uses less digits than its factorization.

34084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34084 is about 184.6185256143. The cubic root of 34084 is about 32.4227752278.

It can be divided in two parts, 340 and 84, that added together give a palindrome (424).

The spelling of 34084 in words is "thirty-four thousand, eighty-four".