382949331241 has 9 divisors (see below), whose sum is σ = 385850406949. Its totient is φ = 380069919904.

The previous prime is 382949331239. The next prime is 382949331251. The reversal of 382949331241 is 142133949283.

The square root of 382949331241 is 618829.

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 134526834841 + 248422496400 = 366779^2 + 498420^2 .

It is not a de Polignac number, because 382949331241 - 2¹ = 382949331239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382949331251) 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, 84777315 + ... + 84781831.

Almost surely, 2^382949331241 is an apocalyptic number.

382949331241 is the 618829-th square number.

382949331241 is the 309415-th centered octagonal number.

It is an amenable number.

382949331241 is a deficient number, since it is larger than the sum of its proper divisors (2901075708).

382949331241 is an frugal number, since it uses more digits than its factorization.

382949331241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 4654 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

Multiplying 382949331241 by its sum of digits (49), we get a square (18764517230809 = 4331803²).

The spelling of 382949331241 in words is "three hundred eighty-two billion, nine hundred forty-nine million, three hundred thirty-one thousand, two hundred forty-one".