314008 has 8 divisors (see below), whose sum is σ = 588780. Its totient is φ = 157000.

The previous prime is 314003. The next prime is 314021. The reversal of 314008 is 800413.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 313982 and 314000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314003) by changing a digit.

314008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19618 + ... + 19633.

2³¹⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

314008 is a deficient number, since it is larger than the sum of its proper divisors (274772).

314008 is a wasteful number, since it uses less digits than its factorization.

314008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39257 (or 39253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 314008 is about 560.3641673055. The cubic root of 314008 is about 67.9694210838.

It can be divided in two parts, 3 and 14008, that multiplied together give a palindrome (42024).

The spelling of 314008 in words is "three hundred fourteen thousand, eight".