538305 has 16 divisors (see below), whose sum is σ = 912384. Its totient is φ = 270080.

The previous prime is 538303. The next prime is 538309. The reversal of 538305 is 503835.

538305 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 538305 - 2¹ = 538303 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (538301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (57024).

2⁵³⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

538305 is a deficient number, since it is larger than the sum of its proper divisors (374079).

538305 is a wasteful number, since it uses less digits than its factorization.

538305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 538305 is about 733.6927149700. The cubic root of 538305 is about 81.3472366420.

It can be divided in two parts, 53830 and 5, that added together give a palindrome (53835).

The spelling of 538305 in words is "five hundred thirty-eight thousand, three hundred five".