522729 has 9 divisors (see below), whose sum is σ = 758199. Its totient is φ = 347040.

The previous prime is 522719. The next prime is 522737. The reversal of 522729 is 927225.

It is a happy number.

The square root of 522729 is 723.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 393129 + 129600 = 627^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 522729 - 2⁷ = 522601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (522719) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2049 + ... + 2289.

522729 is a Friedman number, since it can be written as (752-29)^2, using all its digits and the basic arithmetic operations.

2⁵²²⁷²⁹ is an apocalyptic number.

522729 is the 723-rd square number.

522729 is the 362-nd centered octagonal number.

It is an amenable number.

522729 is a deficient number, since it is larger than the sum of its proper divisors (235470).

522729 is an equidigital number, since it uses as much as digits as its factorization.

522729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The cubic root of 522729 is about 80.5549436515.

Subtracting 522729 from its reverse (927225), we obtain a square (404496 = 636²).

The spelling of 522729 in words is "five hundred twenty-two thousand, seven hundred twenty-nine".