238315 has 16 divisors (see below), whose sum is σ = 357120. Its totient is φ = 148320.

The previous prime is 238313. The next prime is 238321. The reversal of 238315 is 513832.

238315 = 13² + 14² + ... + 89².

It is not a de Polignac number, because 238315 - 2¹ = 238313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238313) 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 15 ways as a sum of consecutive naturals, for example, 76 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

238315 is a Friedman number, since it can be written as (31*2)^3-8-5, using all its digits and the basic arithmetic operations.

2²³⁸³¹⁵ is an apocalyptic number.

238315 is a deficient number, since it is larger than the sum of its proper divisors (118805).

238315 is a wasteful number, since it uses less digits than its factorization.

238315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its digits is 720, while the sum is 22.

The square root of 238315 is about 488.1751734777. The cubic root of 238315 is about 61.9988726815.

It can be divided in two parts, 23 and 8315, that added together give a palindrome (8338).

The spelling of 238315 in words is "two hundred thirty-eight thousand, three hundred fifteen".