238007 has 12 divisors (see below), whose sum is σ = 300048. Its totient is φ = 184800.

The previous prime is 238001. The next prime is 238009. The reversal of 238007 is 700832.

It is not a de Polignac number, because 238007 - 2¹⁰ = 236983 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 238007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238001) 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 11 ways as a sum of consecutive naturals, for example, 707 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (25004).

2²³⁸⁰⁰⁷ is an apocalyptic number.

238007 is a deficient number, since it is larger than the sum of its proper divisors (62041).

238007 is a wasteful number, since it uses less digits than its factorization.

238007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 238007 is about 487.8596109538. The cubic root of 238007 is about 61.9721519056.

Adding to 238007 its reverse (700832), we get a palindrome (938839).

The spelling of 238007 in words is "two hundred thirty-eight thousand, seven".