838638723 has 64 divisors (see below), whose sum is σ = 1280240640. Its totient is φ = 484915200.

The previous prime is 838638709. The next prime is 838638737. The reversal of 838638723 is 327836838.

It is an interprime number because it is at equal distance from previous prime (838638709) and next prime (838638737).

It is not a de Polignac number, because 838638723 - 2¹⁷ = 838507651 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (838638793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9422863 + ... + 9422951.

It is an arithmetic number, because the mean of its divisors is an integer number (20003760).

Almost surely, 2^838638723 is an apocalyptic number.

838638723 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

838638723 is a deficient number, since it is larger than the sum of its proper divisors (441601917).

838638723 is a wasteful number, since it uses less digits than its factorization.

838638723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its digits is 1161216, while the sum is 48.

The square root of 838638723 is about 28959.2597108421. The cubic root of 838638723 is about 943.0288309380.

The spelling of 838638723 in words is "eight hundred thirty-eight million, six hundred thirty-eight thousand, seven hundred twenty-three".