238013 has 4 divisors (see below), whose sum is σ = 250560. Its totient is φ = 225468.

The previous prime is 238009. The next prime is 238019. The reversal of 238013 is 310832.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 238013 - 2² = 238009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 237982 and 238000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238019) 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 3 ways as a sum of consecutive naturals, for example, 6245 + ... + 6282.

It is an arithmetic number, because the mean of its divisors is an integer number (62640).

2²³⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

238013 is a deficient number, since it is larger than the sum of its proper divisors (12547).

238013 is a wasteful number, since it uses less digits than its factorization.

238013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 238013 is about 487.8657602251. The cubic root of 238013 is about 61.9726726603.

Adding to 238013 its reverse (310832), we get a palindrome (548845).

The spelling of 238013 in words is "two hundred thirty-eight thousand, thirteen".