528765 has 8 divisors (see below), whose sum is σ = 846048. Its totient is φ = 282000.

The previous prime is 528763. The next prime is 528779. The reversal of 528765 is 567825.

It is a happy number.

528765 is nontrivially palindromic in base 14.

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

It is not a de Polignac number, because 528765 - 2¹ = 528763 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 2¹⁴ + 7⁶ + 8⁴ + 6 + 5⁸ .

It is a Curzon number.

528765 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528765.

It is not an unprimeable number, because it can be changed into a prime (528763) 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, 17611 + ... + 17640.

It is an arithmetic number, because the mean of its divisors is an integer number (105756).

2⁵²⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

528765 is a deficient number, since it is larger than the sum of its proper divisors (317283).

528765 is a wasteful number, since it uses less digits than its factorization.

528765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35259.

The product of its digits is 16800, while the sum is 33.

The square root of 528765 is about 727.1622927518. The cubic root of 528765 is about 80.8638162804.

Subtracting 528765 from its reverse (567825), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 528765 in words is "five hundred twenty-eight thousand, seven hundred sixty-five".