381792625 has 16 divisors (see below), whose sum is σ = 481210704. Its totient is φ = 302400000.

The previous prime is 381792623. The next prime is 381792661. The reversal of 381792625 is 526297183.

It can be written as a sum of positive squares in 8 ways, for example, as 89245809 + 292546816 = 9447^2 + 17104^2 .

It is not a de Polignac number, because 381792625 - 2¹ = 381792623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381792623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2496 + ... + 27745.

It is an arithmetic number, because the mean of its divisors is an integer number (30075669).

Almost surely, 2^381792625 is an apocalyptic number.

It is an amenable number.

381792625 is a deficient number, since it is larger than the sum of its proper divisors (99418079).

381792625 is a wasteful number, since it uses less digits than its factorization.

381792625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30357 (or 30347 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 381792625 is about 19539.5144514903. The cubic root of 381792625 is about 725.4528284839.

It can be divided in two parts, 38179 and 2625, that added together give a palindrome (40804).

The spelling of 381792625 in words is "three hundred eighty-one million, seven hundred ninety-two thousand, six hundred twenty-five".