38205125 has 32 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 25612800.

The previous prime is 38205121. The next prime is 38205161. The reversal of 38205125 is 52150283.

It is not a de Polignac number, because 38205125 - 2² = 38205121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38205094 and 38205103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38205121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40661 + ... + 41589.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 2^38205125 is an apocalyptic number.

38205125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38205125 is a deficient number, since it is larger than the sum of its proper divisors (17505595).

38205125 is an equidigital number, since it uses as much as digits as its factorization.

38205125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 38205125 is about 6181.0294450035. The cubic root of 38205125 is about 336.8013898392.

The spelling of 38205125 in words is "thirty-eight million, two hundred five thousand, one hundred twenty-five".