208314 has 24 divisors (see below), whose sum is σ = 460512. Its totient is φ = 68040.

The previous prime is 208309. The next prime is 208319. The reversal of 208314 is 413802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (208309) and next prime (208319).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (208319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1197 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (19188).

2²⁰⁸³¹⁴ is an apocalyptic number.

208314 is an abundant number, since it is smaller than the sum of its proper divisors (252198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208314 is a wasteful number, since it uses less digits than its factorization.

208314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 208314 is about 456.4142854907. The cubic root of 208314 is about 59.2797212420.

The spelling of 208314 in words is "two hundred eight thousand, three hundred fourteen".