38626225 has 27 divisors (see below), whose sum is σ = 53116609. Its totient is φ = 27843200.

The previous prime is 38626213. The next prime is 38626243. The reversal of 38626225 is 52262683.

The square root of 38626225 is 6215.

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

38626225 is digitally balanced in base 2, 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 4 ways, for example, as 19651489 + 18974736 = 4433^2 + 4356^2 .

It is not a de Polignac number, because 38626225 - 2²⁵ = 5071793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 341769 + ... + 341881.

Almost surely, 2^38626225 is an apocalyptic number.

38626225 is the 6215-th square number.

38626225 is the 3108-th centered octagonal number.

It is an amenable number.

38626225 is a deficient number, since it is larger than the sum of its proper divisors (14490384).

38626225 is a wasteful number, since it uses less digits than its factorization.

38626225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The cubic root of 38626225 is about 338.0342886214.

The spelling of 38626225 in words is "thirty-eight million, six hundred twenty-six thousand, two hundred twenty-five".