67204 has 12 divisors (see below), whose sum is σ = 120204. Its totient is φ = 32864.

The previous prime is 67189. The next prime is 67211. The reversal of 67204 is 40276.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 44100 = 152^2 + 210^2 .

It is an unprimeable number.

67204 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 in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 370.

It is an arithmetic number, because the mean of its divisors is an integer number (10017).

2⁶⁷²⁰⁴ is an apocalyptic number.

It is an amenable number.

67204 is a deficient number, since it is larger than the sum of its proper divisors (53000).

67204 is a wasteful number, since it uses less digits than its factorization.

67204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 67204 is about 259.2373429890. The cubic root of 67204 is about 40.6566609204.

It can be divided in two parts, 6720 and 4, that added together give a square (6724 = 82²).

The spelling of 67204 in words is "sixty-seven thousand, two hundred four".