314512 has 20 divisors (see below), whose sum is σ = 665136. Its totient is φ = 142880.

The previous prime is 314497. The next prime is 314513. The reversal of 314512 is 215413.

It is a super-3 number, since 3×314512³ = 93332503589597184, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (314513) by changing a digit.

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, 718 + ... + 1069.

2³¹⁴⁵¹² is an apocalyptic number.

It is an amenable number.

314512 is an abundant number, since it is smaller than the sum of its proper divisors (350624).

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

314512 is a wasteful number, since it uses less digits than its factorization.

314512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 314512 is about 560.8136945546. The cubic root of 314512 is about 68.0057665237.

Adding to 314512 its reverse (215413), we get a palindrome (529925).

Subtracting from 314512 its reverse (215413), we obtain a palindrome (99099).

The spelling of 314512 in words is "three hundred fourteen thousand, five hundred twelve".