314916 has 48 divisors (see below), whose sum is σ = 881664. Its totient is φ = 85536.

The previous prime is 314903. The next prime is 314917. The reversal of 314916 is 619413.

It is not an unprimeable number, because it can be changed into a prime (314917) by changing a digit.

314916 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 in 15 ways as a sum of consecutive naturals, for example, 1851 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (18368).

314916 is a Friedman number, since it can be written as 4+16*(3^9-1), using all its digits and the basic arithmetic operations.

2³¹⁴⁹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440832).

314916 is an abundant number, since it is smaller than the sum of its proper divisors (566748).

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

314916 is a wasteful number, since it uses less digits than its factorization.

314916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 314916 is about 561.1737698788. The cubic root of 314916 is about 68.0348725400.

The spelling of 314916 in words is "three hundred fourteen thousand, nine hundred sixteen".