38259 has 16 divisors (see below), whose sum is σ = 61600. Its totient is φ = 23328.

The previous prime is 38239. The next prime is 38261. The reversal of 38259 is 95283.

It is not a de Polignac number, because 38259 - 2⁹ = 37747 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38219) 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, 297 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (3850).

2³⁸²⁵⁹ is an apocalyptic number.

38259 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

38259 is a deficient number, since it is larger than the sum of its proper divisors (23341).

38259 is a wasteful number, since it uses less digits than its factorization.

38259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 38259 is about 195.5990797524. The cubic root of 38259 is about 33.6959629102.

It can be divided in two parts, 382 and 59, that added together give a square (441 = 21²).

The spelling of 38259 in words is "thirty-eight thousand, two hundred fifty-nine".