517473 has 12 divisors (see below), whose sum is σ = 815568. Its totient is φ = 313560.

The previous prime is 517471. The next prime is 517481. The reversal of 517473 is 374715.

It is not a de Polignac number, because 517473 - 2¹ = 517471 is a prime.

It is a d-powerful number, because it can be written as 5⁷ + 1 + 4⁹ + 7 + 7² + 3¹¹ .

It is not an unprimeable number, because it can be changed into a prime (517471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2515 + ... + 2712.

It is an arithmetic number, because the mean of its divisors is an integer number (67964).

2⁵¹⁷⁴⁷³ is an apocalyptic number.

It is an amenable number.

517473 is a deficient number, since it is larger than the sum of its proper divisors (298095).

517473 is a wasteful number, since it uses less digits than its factorization.

517473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5241 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 517473 is about 719.3559619549. The cubic root of 517473 is about 80.2840423888.

It can be divided in two parts, 517 and 473, that added together give a triangular number (990 = T₄₄).

The spelling of 517473 in words is "five hundred seventeen thousand, four hundred seventy-three".