314208 has 36 divisors (see below), whose sum is σ = 894348. Its totient is φ = 104640.

The previous prime is 314189. The next prime is 314213. The reversal of 314208 is 802413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314208.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2³¹⁴²⁰⁸ is an apocalyptic number.

It is an amenable number.

314208 is an abundant number, since it is smaller than the sum of its proper divisors (580140).

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

314208 is a wasteful number, since it uses less digits than its factorization.

314208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1096 counting only the distinct ones).

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

The square root of 314208 is about 560.5425942781. The cubic root of 314208 is about 67.9838485285.

It can be divided in two parts, 3 and 14208, that multiplied together give a palindrome (42624).

The spelling of 314208 in words is "three hundred fourteen thousand, two hundred eight".