314912 has 24 divisors (see below), whose sum is σ = 668556. Its totient is φ = 145152.

The previous prime is 314903. The next prime is 314917. The reversal of 314912 is 219413.

It can be written as a sum of positive squares in 2 ways, for example, as 309136 + 5776 = 556^2 + 76^2 .

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

314912 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 38 + ... + 794.

314912 is a Friedman number, since it can be written as 2^4*(3^9-1*1), using all its digits and the basic arithmetic operations.

2³¹⁴⁹¹² is an apocalyptic number.

314912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334278).

314912 is an abundant number, since it is smaller than the sum of its proper divisors (353644).

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

314912 is a wasteful number, since it uses less digits than its factorization.

314912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 314912 is about 561.1702059090. The cubic root of 314912 is about 68.0345844836.

The spelling of 314912 in words is "three hundred fourteen thousand, nine hundred twelve".