38025 has 27 divisors (see below), whose sum is σ = 73749. Its totient is φ = 18720.

The previous prime is 38011. The next prime is 38039. The reversal of 38025 is 52083.

38025 = T_{39} + T_{40} + ... +
T_{65}.

38025 = 25^{2} + 26^{2} + ... + 50^{2}.

The square root of 38025 is 195.

It is a perfect power (a square), and thus also a powerful number.

38025 is nontrivially palindromic in base 8.

38025 is digitally balanced in base 6, 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 (38011) and next prime (38039).

It can be written as a sum of positive squares in 4 ways, for example, as 9801 + 28224 = 99^2 + 168^2 .

It is not a de Polignac number, because 38025 - 2^{5} = 37993 is a prime.

38025 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a zygodrome in base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 37989 and 38007.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2919 + ... + 2931.

2^{38025} is an apocalyptic number.

38025 is the 195-th square number.

38025 is the 98-th centered octagonal number.

It is an amenable number.

38025 is a deficient number, since it is larger than the sum of its proper divisors (35724).

38025 is a wasteful number, since it uses less digits than its factorization.

38025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 38025 is about 33.6271252048.

The spelling of 38025 in words is "thirty-eight thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 4225 7605 12675 38025

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