208364 has 12 divisors (see below), whose sum is σ = 392784. Its totient is φ = 96144.

The previous prime is 208337. The next prime is 208367. The reversal of 208364 is 463802.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208364.

It is not an unprimeable number, because it can be changed into a prime (208367) by changing a digit.

208364 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1952 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (32732).

2²⁰⁸³⁶⁴ is an apocalyptic number.

It is an amenable number.

208364 is a deficient number, since it is larger than the sum of its proper divisors (184420).

208364 is a wasteful number, since it uses less digits than its factorization.

208364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 208364 is about 456.4690570017. The cubic root of 208364 is about 59.2844636804.

The spelling of 208364 in words is "two hundred eight thousand, three hundred sixty-four".