238312 has 8 divisors (see below), whose sum is σ = 446850. Its totient is φ = 119152.

The previous prime is 238307. The next prime is 238313. The reversal of 238312 is 213832.

It is a happy number.

238312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 2116 = 486^2 + 46^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 238312.

It is not an unprimeable number, because it can be changed into a prime (238313) by changing a digit.

238312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14887 + ... + 14902.

238312 is a Friedman number, since it can be written as (31*2)^3-8*2, using all its digits and the basic arithmetic operations.

2²³⁸³¹² is an apocalyptic number.

It is an amenable number.

238312 is a deficient number, since it is larger than the sum of its proper divisors (208538).

238312 is a wasteful number, since it uses less digits than its factorization.

238312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29795 (or 29791 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 238312 is about 488.1721008005. The cubic root of 238312 is about 61.9986125253.

The spelling of 238312 in words is "two hundred thirty-eight thousand, three hundred twelve".