38925 has 18 divisors (see below), whose sum is σ = 70122. Its totient is φ = 20640.

The previous prime is 38923. The next prime is 38933. The reversal of 38925 is 52983.

It can be written as a sum of positive squares in 3 ways, for example, as 8649 + 30276 = 93^2 + 174^2 .

It is not a de Polignac number, because 38925 - 2¹ = 38923 is a prime.

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

It is an Ulam number.

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

38925 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139 + ... + 311.

2³⁸⁹²⁵ is an apocalyptic number.

It is an amenable number.

38925 is a deficient number, since it is larger than the sum of its proper divisors (31197).

38925 is a wasteful number, since it uses less digits than its factorization.

38925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

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

The square root of 38925 is about 197.2941965695. The cubic root of 38925 is about 33.8903619454.

It can be divided in two parts, 389 and 25, that added together give a palindrome (414).

The spelling of 38925 in words is "thirty-eight thousand, nine hundred twenty-five".