512973 has 12 divisors (see below), whose sum is σ = 768768. Its totient is φ = 341820.

The previous prime is 512959. The next prime is 512977. The reversal of 512973 is 379215.

It is not a de Polignac number, because 512973 - 2⁸ = 512717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512977) 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 11 ways as a sum of consecutive naturals, for example, 813 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (64064).

2⁵¹²⁹⁷³ is an apocalyptic number.

It is an amenable number.

512973 is a deficient number, since it is larger than the sum of its proper divisors (255795).

512973 is an equidigital number, since it uses as much as digits as its factorization.

512973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2114 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 512973 is about 716.2213345049. The cubic root of 512973 is about 80.0506450151.

It can be divided in two parts, 512 and 973, that added together give a triangular number (1485 = T₅₄).

The spelling of 512973 in words is "five hundred twelve thousand, nine hundred seventy-three".