314516 has 12 divisors (see below), whose sum is σ = 559860. Its totient is φ = 154560.

The previous prime is 314513. The next prime is 314527. The reversal of 314516 is 615413.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 198916 = 340^2 + 446^2 .

It is a super-3 number, since 3×314516³ = 93336064675620288, which contains 333 as substring.

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 314516.

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 3 ways as a sum of consecutive naturals, for example, 401 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (46655).

2³¹⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

314516 is a deficient number, since it is larger than the sum of its proper divisors (245344).

314516 is a wasteful number, since it uses less digits than its factorization.

314516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1352 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 314516 is about 560.8172607900. The cubic root of 314516 is about 68.0060548242.

Adding to 314516 its reverse (615413), we get a palindrome (929929).

The spelling of 314516 in words is "three hundred fourteen thousand, five hundred sixteen".