535766 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 205800.

The previous prime is 535757. The next prime is 535771. The reversal of 535766 is 667535.

Its product of digits (18900) is a multiple of the sum of its prime factors (105).

It is a Curzon 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 535766.

It is an unprimeable number.

535766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7511 + ... + 7581.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁵³⁵⁷⁶⁶ is an apocalyptic number.

535766 is a deficient number, since it is larger than the sum of its proper divisors (501034).

535766 is a wasteful number, since it uses less digits than its factorization.

535766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 535766 is about 731.9603814415. The cubic root of 535766 is about 81.2191393647.

Subtracting 535766 from its reverse (667535), we obtain a square (131769 = 363²).

The spelling of 535766 in words is "five hundred thirty-five thousand, seven hundred sixty-six".