381381841 has 9 divisors (see below), whose sum is σ = 389131113. Its totient is φ = 373785060.

The previous prime is 381381839. The next prime is 381381853. The reversal of 381381841 is 148183183.

381381841 = 1379² + 1380² + ... + 1555².

The square root of 381381841 is 19529.

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

It is not a de Polignac number, because 381381841 - 2¹ = 381381839 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 381381841.

It is not an unprimeable number, because it can be changed into a prime (381381811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1152046 + ... + 1152376.

Almost surely, 2^381381841 is an apocalyptic number.

381381841 is the 19529-th square number.

381381841 is the 9765-th centered octagonal number.

It is an amenable number.

381381841 is a deficient number, since it is larger than the sum of its proper divisors (7749272).

381381841 is an frugal number, since it uses more digits than its factorization.

381381841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The cubic root of 381381841 is about 725.1925551165.

The spelling of 381381841 in words is "three hundred eighty-one million, three hundred eighty-one thousand, eight hundred forty-one".