522733 has 8 divisors (see below), whose sum is σ = 560952. Its totient is φ = 485376.

The previous prime is 522719. The next prime is 522737. The reversal of 522733 is 337225.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29929 + 492804 = 173^2 + 702^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 522733 - 2¹⁷ = 391661 is a prime.

It is a Duffinian number.

522733 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491 + ... + 1807.

It is an arithmetic number, because the mean of its divisors is an integer number (70119).

2⁵²²⁷³³ is an apocalyptic number.

It is an amenable number.

522733 is a deficient number, since it is larger than the sum of its proper divisors (38219).

522733 is a wasteful number, since it uses less digits than its factorization.

522733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 1260, while the sum is 22.

The square root of 522733 is about 723.0027662464. The cubic root of 522733 is about 80.5551491238. Note that the first 3 decimals are identical.

Adding to 522733 its reverse (337225), we get a palindrome (859958).

The spelling of 522733 in words is "five hundred twenty-two thousand, seven hundred thirty-three".