314712 has 64 divisors (see below), whose sum is σ = 921600. Its totient is φ = 99360.

The previous prime is 314711. The next prime is 314719. The reversal of 314712 is 217413.

314712 = 3³ + 4³ + ... + 33³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314712.

It is not an unprimeable number, because it can be changed into a prime (314711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6673 + ... + 6719.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2³¹⁴⁷¹² 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 314712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

314712 is an abundant number, since it is smaller than the sum of its proper divisors (606888).

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

314712 is a wasteful number, since it uses less digits than its factorization.

314712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 314712 is about 560.9919785523. The cubic root of 314712 is about 68.0201785560.

The spelling of 314712 in words is "three hundred fourteen thousand, seven hundred twelve", and thus it is an iban number.