38825325 has 144 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 15940800.

The previous prime is 38825323. The next prime is 38825327. The reversal of 38825325 is 52352883.

38825325 is a `hidden beast` number, since 388 + 253 + 25 = 666.

38825325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38825323) and next prime (38825327).

It is not a de Polignac number, because 38825325 - 2¹ = 38825323 is a prime.

It is a super-2 number, since 2×38825325² = 3014811722711250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38825325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38825323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 467734 + ... + 467816.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^38825325 is an apocalyptic number.

38825325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38825325 is an abundant number, since it is smaller than the sum of its proper divisors (52168851).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38825325 is a wasteful number, since it uses less digits than its factorization.

38825325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 38825325 is about 6230.9971112174. The cubic root of 38825325 is about 338.6140960717.

Adding to 38825325 its sum of digits (36), we get a square (38825361 = 6231²).

The spelling of 38825325 in words is "thirty-eight million, eight hundred twenty-five thousand, three hundred twenty-five".