517393 has 2 divisors, whose sum is σ = 517394. Its totient is φ = 517392.

The previous prime is 517381. The next prime is 517399. The reversal of 517393 is 393715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 16129 = 708^2 + 127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-517393 is a prime.

517393 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (517399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258696 + 258697.

It is an arithmetic number, because the mean of its divisors is an integer number (258697).

2⁵¹⁷³⁹³ is an apocalyptic number.

It is an amenable number.

517393 is a deficient number, since it is larger than the sum of its proper divisors (1).

517393 is an equidigital number, since it uses as much as digits as its factorization.

517393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2835, while the sum is 28.

The square root of 517393 is about 719.3003545112. The cubic root of 517393 is about 80.2799049398.

The spelling of 517393 in words is "five hundred seventeen thousand, three hundred ninety-three".