516114 has 24 divisors (see below), whose sum is σ = 1141452. Its totient is φ = 168480.

The previous prime is 516091. The next prime is 516127. The reversal of 516114 is 411615.

516114 is a `hidden beast` number, since 51 + 611 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 514089 + 2025 = 717^2 + 45^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516114.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684 + ... + 1224.

2⁵¹⁶¹¹⁴ is an apocalyptic number.

516114 is an abundant number, since it is smaller than the sum of its proper divisors (625338).

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

516114 is a wasteful number, since it uses less digits than its factorization.

516114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 599 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 516114 is about 718.4107460221. The cubic root of 516114 is about 80.2136994817.

Adding to 516114 its reverse (411615), we get a palindrome (927729).

It can be divided in two parts, 51611 and 4, that added together give a palindrome (51615).

The spelling of 516114 in words is "five hundred sixteen thousand, one hundred fourteen".