314016 has 24 divisors (see below), whose sum is σ = 824544. Its totient is φ = 104640.

The previous prime is 314003. The next prime is 314021. The reversal of 314016 is 610413.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 313986 and 314004.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1540 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (34356).

2³¹⁴⁰¹⁶ is an apocalyptic number.

It is an amenable number.

314016 is an abundant number, since it is smaller than the sum of its proper divisors (510528).

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

314016 is a wasteful number, since it uses less digits than its factorization.

314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 314016 is about 560.3713054752. The cubic root of 314016 is about 67.9699982992.

Adding to 314016 its reverse (610413), we get a palindrome (924429).

The spelling of 314016 in words is "three hundred fourteen thousand, sixteen".