387225 has 18 divisors (see below), whose sum is σ = 693966. Its totient is φ = 206400.

The previous prime is 387203. The next prime is 387227. The reversal of 387225 is 522783.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 335241 = 228^2 + 579^2 .

It is not a de Polignac number, because 387225 - 2⁶ = 387161 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁷ + 8⁴ + 2¹⁰ + 7⁶ + 2¹⁸ + 5³ .

It is not an unprimeable number, because it can be changed into a prime (387227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 636 + ... + 1085.

2³⁸⁷²²⁵ is an apocalyptic number.

It is an amenable number.

387225 is a deficient number, since it is larger than the sum of its proper divisors (306741).

387225 is a wasteful number, since it uses less digits than its factorization.

387225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 387225 is about 622.2740553807. The cubic root of 387225 is about 72.8877363690.

The spelling of 387225 in words is "three hundred eighty-seven thousand, two hundred twenty-five".