516879 has 24 divisors (see below), whose sum is σ = 853632. Its totient is φ = 298320.

The previous prime is 516877. The next prime is 516883. The reversal of 516879 is 978615.

It is not a de Polignac number, because 516879 - 2¹ = 516877 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2164 + ... + 2390.

It is an arithmetic number, because the mean of its divisors is an integer number (35568).

516879 is a Friedman number, since it can be written as 759*681, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 681 ⋅ 759 (with its own digits).

2⁵¹⁶⁸⁷⁹ is an apocalyptic number.

516879 is a deficient number, since it is larger than the sum of its proper divisors (336753).

516879 is a wasteful number, since it uses less digits than its factorization.

516879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 264 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 516879 is about 718.9429740946. The cubic root of 516879 is about 80.2533116518.

The spelling of 516879 in words is "five hundred sixteen thousand, eight hundred seventy-nine".