314514 has 24 divisors (see below), whose sum is σ = 692172. Its totient is φ = 103200.

The previous prime is 314513. The next prime is 314527. The reversal of 314514 is 415413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 233289 + 81225 = 483^2 + 285^2 .

It is a super-3 number, since 3×314514³ = 93334284121286232, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314514.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732 + ... + 1904.

2³¹⁴⁵¹⁴ is an apocalyptic number.

314514 is an abundant number, since it is smaller than the sum of its proper divisors (377658).

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

314514 is a wasteful number, since it uses less digits than its factorization.

314514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 314514 is about 560.8154776751. The cubic root of 314514 is about 68.0059106742.

Adding to 314514 its reverse (415413), we get a palindrome (729927).

It can be divided in two parts, 314 and 514, that added together give a palindrome (828).

The spelling of 314514 in words is "three hundred fourteen thousand, five hundred fourteen".