34208 has 12 divisors (see below), whose sum is σ = 67410. Its totient is φ = 17088.

The previous prime is 34183. The next prime is 34211. The reversal of 34208 is 80243.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 4624 = 172^2 + 68^2 .

It is a plaindrome in base 11.

It is an unprimeable 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, 503 + ... + 566.

2³⁴²⁰⁸ is an apocalyptic number.

It is an amenable number.

34208 is a deficient number, since it is larger than the sum of its proper divisors (33202).

34208 is a wasteful number, since it uses less digits than its factorization.

34208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34208 is about 184.9540483472. The cubic root of 34208 is about 32.4620464248.

Adding to 34208 its sum of digits (17), we get a square (34225 = 185²).

Subtracting from 34208 its sum of digits (17), we obtain a triangular number (34191 = T₂₆₁).

It can be divided in two parts, 34 and 208, that added together give a palindrome (242).

The spelling of 34208 in words is "thirty-four thousand, two hundred eight".