238146 has 16 divisors (see below), whose sum is σ = 501600. Its totient is φ = 75168.

The previous prime is 238141. The next prime is 238151. The reversal of 238146 is 641832.

238146 = 14² + 15² + ... + 89².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (238141) and next prime (238151).

It is not an unprimeable number, because it can be changed into a prime (238141) by changing a digit.

238146 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 931 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (31350).

2²³⁸¹⁴⁶ is an apocalyptic number.

238146 is an abundant number, since it is smaller than the sum of its proper divisors (263454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238146 is a wasteful number, since it uses less digits than its factorization.

238146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113.

The product of its digits is 1152, while the sum is 24.

The square root of 238146 is about 488.0020491760. The cubic root of 238146 is about 61.9842138096.

Adding to 238146 its reverse (641832), we get a palindrome (879978).

It can be divided in two parts, 23814 and 6, that multiplied together give a square (142884 = 378²).

The spelling of 238146 in words is "two hundred thirty-eight thousand, one hundred forty-six".