238761 has 16 divisors (see below), whose sum is σ = 364800. Its totient is φ = 154224.

The previous prime is 238759. The next prime is 238781. The reversal of 238761 is 167832.

238761 = 9² + 10² + ... + 89².

238761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238761 - 2¹ = 238759 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238761.

It is not an unprimeable number, because it can be changed into a prime (238781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (22800).

2²³⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

238761 is a deficient number, since it is larger than the sum of its proper divisors (126039).

238761 is a wasteful number, since it uses less digits than its factorization.

238761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 238761 is about 488.6317631919. The cubic root of 238761 is about 62.0375249771.

It can be divided in two parts, 238 and 761, that added together give a palindrome (999).

The spelling of 238761 in words is "two hundred thirty-eight thousand, seven hundred sixty-one".