238965 has 16 divisors (see below), whose sum is σ = 388800. Its totient is φ = 125312.

The previous prime is 238949. The next prime is 238967. The reversal of 238965 is 569832.

238965 = 1² + 2² + ... + 89².

It is a happy number.

238965 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238965 - 2⁴ = 238949 is a prime.

It is an Ulam number.

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

238965 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238967) 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, 1246 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2²³⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

238965 is a deficient number, since it is larger than the sum of its proper divisors (149835).

238965 is a wasteful number, since it uses less digits than its factorization.

238965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 12960, while the sum is 33.

The square root of 238965 is about 488.8404647735. The cubic root of 238965 is about 62.0551884599.

The spelling of 238965 in words is "two hundred thirty-eight thousand, nine hundred sixty-five".