516861 has 14 divisors (see below), whose sum is σ = 776030. Its totient is φ = 344088.

The previous prime is 516847. The next prime is 516871. The reversal of 516861 is 168615.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 164025 = 594^2 + 405^2 .

It is not a de Polignac number, because 516861 - 2⁵ = 516829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

516861 is a lucky number.

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 516861.

It is not an unprimeable number, because it can be changed into a prime (516811) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 375 + ... + 1083.

2⁵¹⁶⁸⁶¹ is an apocalyptic number.

It is an amenable number.

516861 is a deficient number, since it is larger than the sum of its proper divisors (259169).

516861 is an frugal number, since it uses more digits than its factorization.

516861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 516861 is about 718.9304556075. The cubic root of 516861 is about 80.2523800499.

The spelling of 516861 in words is "five hundred sixteen thousand, eight hundred sixty-one".