516957 has 16 divisors (see below), whose sum is σ = 798720. Its totient is φ = 291312.

The previous prime is 516949. The next prime is 516959. The reversal of 516957 is 759615.

It is not a de Polignac number, because 516957 - 2³ = 516949 is a prime.

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 516957.

It is not an unprimeable number, because it can be changed into a prime (516959) 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 15 ways as a sum of consecutive naturals, for example, 2044 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (49920).

2⁵¹⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

516957 is a deficient number, since it is larger than the sum of its proper divisors (281763).

516957 is a wasteful number, since it uses less digits than its factorization.

516957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its digits is 9450, while the sum is 33.

The square root of 516957 is about 718.9972183535. The cubic root of 516957 is about 80.2573483435.

The spelling of 516957 in words is "five hundred sixteen thousand, nine hundred fifty-seven".