378225 has 27 divisors (see below), whose sum is σ = 694369. Its totient is φ = 196800.

The previous prime is 378223. The next prime is 378229. The reversal of 378225 is 522873.

The square root of 378225 is 615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 219024 = 399^2 + 468^2 .

It is not a de Polignac number, because 378225 - 2^{1} = 378223 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 378225.

It is not an unprimeable number, because it can be changed into a prime (378223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9205 + ... + 9245.

378225 is a Friedman number, since it can be written as (5*(3-8+2^7))^2, using all its digits and the basic arithmetic operations.

2^{378225} is an apocalyptic number.

378225 is the 615-th square number.

378225 is the 308-th centered octagonal number.

It is an amenable number.

378225 is a deficient number, since it is larger than the sum of its proper divisors (316144).

378225 is a wasteful number, since it uses less digits than its factorization.

378225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

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

The cubic root of 378225 is about 72.3186111647.

The spelling of 378225 in words is "three hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1681 1845 3075 5043 8405 9225 15129 25215 42025 75645 126075 378225

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