838784241 has 48 divisors (see below), whose sum is σ = 1333113600. Its totient is φ = 525544848.

The previous prime is 838784239. The next prime is 838784251. The reversal of 838784241 is 142487838.

It is not a de Polignac number, because 838784241 - 2¹ = 838784239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (838784251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641110 + ... + 642416.

It is an arithmetic number, because the mean of its divisors is an integer number (27773200).

Almost surely, 2^838784241 is an apocalyptic number.

838784241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

838784241 is a deficient number, since it is larger than the sum of its proper divisors (494329359).

838784241 is a wasteful number, since it uses less digits than its factorization.

838784241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 838784241 is about 28961.7720624965. The cubic root of 838784241 is about 943.0833715999.

The spelling of 838784241 in words is "eight hundred thirty-eight million, seven hundred eighty-four thousand, two hundred forty-one".