516977 has 2 divisors, whose sum is σ = 516978. Its totient is φ = 516976.

The previous prime is 516973. The next prime is 516979. The reversal of 516977 is 779615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 516961 + 16 = 719^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 516977 - 2² = 516973 is a prime.

Together with 516979, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516977.

It is not a weakly prime, because it can be changed into another prime (516973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258488 + 258489.

It is an arithmetic number, because the mean of its divisors is an integer number (258489).

2⁵¹⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

516977 is a deficient number, since it is larger than the sum of its proper divisors (1).

516977 is an equidigital number, since it uses as much as digits as its factorization.

516977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13230, while the sum is 35.

The square root of 516977 is about 719.0111264786. The cubic root of 516977 is about 80.2583833273.

The spelling of 516977 in words is "five hundred sixteen thousand, nine hundred seventy-seven".