263565 has 12 divisors (see below), whose sum is σ = 456924. Its totient is φ = 140544.

The previous prime is 263561. The next prime is 263567. The reversal of 263565 is 565362.

It can be written as a sum of positive squares in 2 ways, for example, as 184041 + 79524 = 429^2 + 282^2 .

It is not a de Polignac number, because 263565 - 2² = 263561 is a prime.

It is a d-powerful number, because it can be written as 2¹⁸ + 6 + 5² + 3⁶ + 6² + 5⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2884 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (38077).

2²⁶³⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

263565 is a deficient number, since it is larger than the sum of its proper divisors (193359).

263565 is a wasteful number, since it uses less digits than its factorization.

263565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5865 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 263565 is about 513.3858198275. The cubic root of 263565 is about 64.1154329514.

It can be divided in two parts, 263 and 565, that added together give a palindrome (828).

The spelling of 263565 in words is "two hundred sixty-three thousand, five hundred sixty-five".