536305 has 24 divisors (see below), whose sum is σ = 820800. Its totient is φ = 332640.

The previous prime is 536293. The next prime is 536311. The reversal of 536305 is 503635.

536305 is nontrivially palindromic in base 15.

536305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 536305 - 2⁵ = 536273 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2596 + ... + 2794.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁵³⁶³⁰⁵ is an apocalyptic number.

536305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

536305 is a deficient number, since it is larger than the sum of its proper divisors (284495).

536305 is a wasteful number, since it uses less digits than its factorization.

536305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 536305 is about 732.3284782118. The cubic root of 536305 is about 81.2463667014.

It can be divided in two parts, 53630 and 5, that added together give a palindrome (53635).

The spelling of 536305 in words is "five hundred thirty-six thousand, three hundred five".