314412 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 84672.

The previous prime is 314407. The next prime is 314423. The reversal of 314412 is 214413.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 314391 and 314400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498 + ... + 1694.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³¹⁴⁴¹² 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 314412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

314412 is an abundant number, since it is smaller than the sum of its proper divisors (572628).

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

314412 is a wasteful number, since it uses less digits than its factorization.

314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 314412 is about 560.7245312986. The cubic root of 314412 is about 67.9985582163.

Adding to 314412 its reverse (214413), we get a palindrome (528825).

Subtracting from 314412 its reverse (214413), we obtain a palindrome (99999).

The spelling of 314412 in words is "three hundred fourteen thousand, four hundred twelve", and thus it is an iban number.