238509 has 6 divisors (see below), whose sum is σ = 344526. Its totient is φ = 159000.

The previous prime is 238499. The next prime is 238519. The reversal of 238509 is 905832.

It is an interprime number because it is at equal distance from previous prime (238499) and next prime (238519).

It can be written as a sum of positive squares in only one way, i.e., 189225 + 49284 = 435^2 + 222^2 .

It is not a de Polignac number, because 238509 - 2⁵ = 238477 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

238509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13242 + ... + 13259.

It is an arithmetic number, because the mean of its divisors is an integer number (57421).

2²³⁸⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

238509 is a deficient number, since it is larger than the sum of its proper divisors (106017).

238509 is a wasteful number, since it uses less digits than its factorization.

238509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26507 (or 26504 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 238509 is about 488.3738322228. The cubic root of 238509 is about 62.0156914845.

It can be divided in two parts, 238 and 509, that added together give a palindrome (747).

The spelling of 238509 in words is "two hundred thirty-eight thousand, five hundred nine".