516165 has 16 divisors (see below), whose sum is σ = 889728. Its totient is φ = 254016.

The previous prime is 516163. The next prime is 516169. The reversal of 516165 is 561615.

516165 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 516165 - 2¹ = 516163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (55608).

2⁵¹⁶¹⁶⁵ is an apocalyptic number.

It is an amenable number.

516165 is a deficient number, since it is larger than the sum of its proper divisors (373563).

516165 is a wasteful number, since it uses less digits than its factorization.

516165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668.

The product of its digits is 900, while the sum is 24.

The square root of 516165 is about 718.4462401600. The cubic root of 516165 is about 80.2163415103.

It can be divided in two parts, 51 and 6165, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 516165 in words is "five hundred sixteen thousand, one hundred sixty-five".