838538753 has 16 divisors (see below), whose sum is σ = 958602960. Its totient is φ = 726644736.

The previous prime is 838538737. The next prime is 838538801. The reversal of 838538753 is 357835838.

It can be written as a sum of positive squares in 8 ways, for example, as 109160704 + 729378049 = 10448^2 + 27007^2 .

It is not a de Polignac number, because 838538753 - 2⁴ = 838538737 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838538353) 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, 85751 + ... + 95027.

It is an arithmetic number, because the mean of its divisors is an integer number (59912685).

Almost surely, 2^838538753 is an apocalyptic number.

It is an amenable number.

838538753 is a deficient number, since it is larger than the sum of its proper divisors (120064207).

838538753 is a wasteful number, since it uses less digits than its factorization.

838538753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9716.

The product of its digits is 2419200, while the sum is 50.

The square root of 838538753 is about 28957.5336138974. The cubic root of 838538753 is about 942.9913581718.

The spelling of 838538753 in words is "eight hundred thirty-eight million, five hundred thirty-eight thousand, seven hundred fifty-three".