38125 has 10 divisors (see below), whose sum is σ = 48422. Its totient is φ = 30000.

The previous prime is 38119. The next prime is 38149. The reversal of 38125 is 52183.

It can be divided in two parts, 381 and 25, that added together give a triangular number (406 = T_{28}).

It is a happy number.

38125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 26244 + 11881 = 162^2 + 109^2 .

It is not a de Polignac number, because 38125 - 2^{7} = 37997 is a prime.

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

It is a Duffinian number.

38125 is strictly pandigital in base 6.

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 5 and base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 595 + ... + 655.

2^{38125} is an apocalyptic number.

It is an amenable number.

38125 is a deficient number, since it is larger than the sum of its proper divisors (10297).

38125 is an frugal number, since it uses more digits than its factorization.

38125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 38125 is about 195.2562418977. The cubic root of 38125 is about 33.6565774863.

The spelling of 38125 in words is "thirty-eight thousand, one hundred twenty-five".

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