38625 has 16 divisors (see below), whose sum is σ = 64896. Its totient is φ = 20400.

The previous prime is 38611. The next prime is 38629. The reversal of 38625 is 52683.

38625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38625 - 2⁴ = 38609 is a prime.

38625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 38595 and 38604.

It is not an unprimeable number, because it can be changed into a prime (38629) 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, 324 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2³⁸⁶²⁵ is an apocalyptic number.

It is an amenable number.

38625 is a deficient number, since it is larger than the sum of its proper divisors (26271).

38625 is a wasteful number, since it uses less digits than its factorization.

38625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 38625 is about 196.5324400703. The cubic root of 38625 is about 33.8030715087.

The spelling of 38625 in words is "thirty-eight thousand, six hundred twenty-five".