263585 has 16 divisors (see below), whose sum is σ = 383616. Its totient is φ = 169728.

The previous prime is 263573. The next prime is 263591. The reversal of 263585 is 585362.

263585 = 71² + 72² + ... + 104².

It is not a de Polignac number, because 263585 - 2⁶ = 263521 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁸ + 6² + 5² + 3⁵ + 8³ + 5⁴ .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (23976).

2²⁶³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

263585 is a deficient number, since it is larger than the sum of its proper divisors (120031).

263585 is a wasteful number, since it uses less digits than its factorization.

263585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472.

The product of its digits is 7200, while the sum is 29.

The square root of 263585 is about 513.4052979859. The cubic root of 263585 is about 64.1170546592.

It can be divided in two parts, 263 and 585, that added together give a palindrome (848).

The spelling of 263585 in words is "two hundred sixty-three thousand, five hundred eighty-five".