516961 has 3 divisors (see below), whose sum is σ = 517681. Its totient is φ = 516242.

The previous prime is 516959. The next prime is 516973. The reversal of 516961 is 169615.

The square root of 516961 is 719.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169615 = 5 ⋅33923.

It is not a de Polignac number, because 516961 - 2¹ = 516959 is a prime.

It is a Duffinian number.

516961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (516911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 360 + ... + 1078.

2⁵¹⁶⁹⁶¹ is an apocalyptic number.

516961 is the 719-th square number.

516961 is the 360-th centered octagonal number.

It is an amenable number.

516961 is a deficient number, since it is larger than the sum of its proper divisors (720).

516961 is an frugal number, since it uses more digits than its factorization.

516961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its digits is 1620, while the sum is 28.

The cubic root of 516961 is about 80.2575553424.

The spelling of 516961 in words is "five hundred sixteen thousand, nine hundred sixty-one".