838629541 has 8 divisors (see below), whose sum is σ = 847282040. Its totient is φ = 829994688.

The previous prime is 838629503. The next prime is 838629557. The reversal of 838629541 is 145926838.

It can be written as a sum of positive squares in 4 ways, for example, as 340402500 + 498227041 = 18450^2 + 22321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 838629541 - 2¹⁷ = 838498469 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 838629491 and 838629500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838129541) 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 7 ways as a sum of consecutive naturals, for example, 104815 + ... + 112531.

It is an arithmetic number, because the mean of its divisors is an integer number (105910255).

Almost surely, 2^838629541 is an apocalyptic number.

It is an amenable number.

838629541 is a deficient number, since it is larger than the sum of its proper divisors (8652499).

838629541 is a wasteful number, since it uses less digits than its factorization.

838629541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823.

The product of its digits is 414720, while the sum is 46.

The square root of 838629541 is about 28959.1011773501. The cubic root of 838629541 is about 943.0253892803.

The spelling of 838629541 in words is "eight hundred thirty-eight million, six hundred twenty-nine thousand, five hundred forty-one".