238592 has 22 divisors (see below), whose sum is σ = 478998. Its totient is φ = 118784.

The previous prime is 238591. The next prime is 238627. The reversal of 238592 is 295832.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 65536 = 416^2 + 256^2 .

It is a super-2 number, since 2×238592² = 113852284928, which contains 22 as substring.

It is a nialpdrome in base 4 and base 8.

It is not an unprimeable number, because it can be changed into a prime (238591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 908 + ... + 1140.

238592 is a Friedman number, since it can be written as 932*8*2^5, using all its digits and the basic arithmetic operations.

2²³⁸⁵⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239499).

238592 is an abundant number, since it is smaller than the sum of its proper divisors (240406).

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

238592 is an equidigital number, since it uses as much as digits as its factorization.

238592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 238592 is about 488.4588007192. The cubic root of 238592 is about 62.0228843723.

The spelling of 238592 in words is "two hundred thirty-eight thousand, five hundred ninety-two".