381616225 has 9 divisors (see below), whose sum is σ = 473325267. Its totient is φ = 305214840.

The previous prime is 381616219. The next prime is 381616309. The reversal of 381616225 is 522616183.

The square root of 381616225 is 19535.

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

It can be written as a sum of positive squares in only one way, i.e., 137381841 + 244234384 = 11721^2 + 15628^2 .

It is not a de Polignac number, because 381616225 - 2⁷ = 381616097 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 8 ways as a sum of consecutive naturals, for example, 95722 + ... + 99628.

Almost surely, 2^381616225 is an apocalyptic number.

381616225 is the 19535-th square number.

381616225 is the 9768-th centered octagonal number.

It is an amenable number.

381616225 is a deficient number, since it is larger than the sum of its proper divisors (91709042).

381616225 is an frugal number, since it uses more digits than its factorization.

381616225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 3912 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The cubic root of 381616225 is about 725.3410840583.

The spelling of 381616225 in words is "three hundred eighty-one million, six hundred sixteen thousand, two hundred twenty-five".