38501925 has 96 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 15590400.

The previous prime is 38501921. The next prime is 38501929. The reversal of 38501925 is 52910583.

It is an interprime number because it is at equal distance from previous prime (38501921) and next prime (38501929).

It is not a de Polignac number, because 38501925 - 2² = 38501921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38501921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340669 + ... + 340781.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^38501925 is an apocalyptic number.

38501925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38501925 is an abundant number, since it is smaller than the sum of its proper divisors (42921435).

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

38501925 is a wasteful number, since it uses less digits than its factorization.

38501925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 38501925 is about 6204.9919419770. The cubic root of 38501925 is about 337.6712985021.

It can be divided in two parts, 3850 and 1925, that added together give a palindrome (5775).

The spelling of 38501925 in words is "thirty-eight million, five hundred one thousand, nine hundred twenty-five".