238825 has 12 divisors (see below), whose sum is σ = 304668. Its totient is φ = 185600.

The previous prime is 238801. The next prime is 238829. The reversal of 238825 is 528832.

238825 = 8² + 9² + ... + 89².

It can be written as a sum of positive squares in 6 ways, for example, as 72361 + 166464 = 269^2 + 408^2 .

It is not a de Polignac number, because 238825 - 2⁹ = 238313 is a prime.

It is a Duffinian number.

238825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 238793 and 238802.

It is not an unprimeable number, because it can be changed into a prime (238829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2²³⁸⁸²⁵ is an apocalyptic number.

238825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

238825 is a deficient number, since it is larger than the sum of its proper divisors (65843).

238825 is a wasteful number, since it uses less digits than its factorization.

238825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 238825 is about 488.6972477925. The cubic root of 238825 is about 62.0430675446.

The spelling of 238825 in words is "two hundred thirty-eight thousand, eight hundred twenty-five".