516791 has 6 divisors (see below), whose sum is σ = 568176. Its totient is φ = 469700.

The previous prime is 516757. The next prime is 516793. The reversal of 516791 is 197615.

It is a happy number.

It is not a de Polignac number, because 516791 - 2⁶ = 516727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2015 + ... + 2256.

It is an arithmetic number, because the mean of its divisors is an integer number (94696).

2⁵¹⁶⁷⁹¹ is an apocalyptic number.

516791 is a deficient number, since it is larger than the sum of its proper divisors (51385).

516791 is a wasteful number, since it uses less digits than its factorization.

516791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4282 counting only the distinct ones).

The product of its digits is 1890, while the sum is 29.

The square root of 516791 is about 718.8817705298. The cubic root of 516791 is about 80.2487569480.

It can be divided in two parts, 516 and 791, that multiplied together give a triangular number (408156 = T₉₀₃).

The spelling of 516791 in words is "five hundred sixteen thousand, seven hundred ninety-one".