238167 has 8 divisors (see below), whose sum is σ = 352880. Its totient is φ = 158760.

The previous prime is 238163. The next prime is 238171. The reversal of 238167 is 761832.

238167 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (238163) and next prime (238171).

It is not a de Polignac number, because 238167 - 2² = 238163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8821 = 238167 / (2 + 3 + 8 + 1 + 6 + 7).

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 238167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4384 + ... + 4437.

It is an arithmetic number, because the mean of its divisors is an integer number (44110).

2²³⁸¹⁶⁷ is an apocalyptic number.

238167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

238167 is a deficient number, since it is larger than the sum of its proper divisors (114713).

238167 is an equidigital number, since it uses as much as digits as its factorization.

238167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 8824 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 238167 is about 488.0235650048. The cubic root of 238167 is about 61.9860357035.

Adding to 238167 its reverse (761832), we get a palindrome (999999).

The spelling of 238167 in words is "two hundred thirty-eight thousand, one hundred sixty-seven".