517967 has 2 divisors, whose sum is σ = 517968. Its totient is φ = 517966.

The previous prime is 517949. The next prime is 517981. The reversal of 517967 is 769715.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 517967 - 2⁸ = 517711 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258983 + 258984.

It is an arithmetic number, because the mean of its divisors is an integer number (258984).

2⁵¹⁷⁹⁶⁷ is an apocalyptic number.

517967 is a deficient number, since it is larger than the sum of its proper divisors (1).

517967 is an equidigital number, since it uses as much as digits as its factorization.

517967 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 517967 is about 719.6992427396. The cubic root of 517967 is about 80.3095816943.

The spelling of 517967 in words is "five hundred seventeen thousand, nine hundred sixty-seven".