38325 has 24 divisors (see below), whose sum is σ = 73408. Its totient is φ = 17280.

The previous prime is 38321. The next prime is 38327. The reversal of 38325 is 52383.

It is not a de Polignac number, because 38325 - 2² = 38321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 3⁵ + 8⁵ + 3⁷ + 2 + 5⁵ .

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

It is a Duffinian number.

It is a Curzon number.

38325 is a lucky number.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489 + ... + 561.

2³⁸³²⁵ is an apocalyptic number.

38325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38325 is the 105-th nonagonal number.

It is an amenable number.

38325 is a deficient number, since it is larger than the sum of its proper divisors (35083).

38325 is a wasteful number, since it uses less digits than its factorization.

38325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 38325 is about 195.7677195045. The cubic root of 38325 is about 33.7153279045.

It can be divided in two parts, 38 and 325, that added together give a palindrome (363).

The spelling of 38325 in words is "thirty-eight thousand, three hundred twenty-five".