238561 has 4 divisors (see below), whose sum is σ = 252612. Its totient is φ = 224512.

The previous prime is 238547. The next prime is 238573. The reversal of 238561 is 165832.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 136161 = 320^2 + 369^2 .

It is a cyclic number.

It is not a de Polignac number, because 238561 - 2⁵ = 238529 is a prime.

It is a super-2 number, since 2×238561² = 113822701442, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7000 + ... + 7033.

It is an arithmetic number, because the mean of its divisors is an integer number (63153).

2²³⁸⁵⁶¹ is an apocalyptic number.

It is an amenable number.

238561 is a deficient number, since it is larger than the sum of its proper divisors (14051).

238561 is a wasteful number, since it uses less digits than its factorization.

238561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050.

The product of its digits is 1440, while the sum is 25.

The square root of 238561 is about 488.4270672270. The cubic root of 238561 is about 62.0201980672.

The spelling of 238561 in words is "two hundred thirty-eight thousand, five hundred sixty-one".