838 has 4 divisors (see below), whose sum is σ = 1260. Its totient is φ = 418.

The previous prime is 829. The next prime is 839.

838 is nontrivially palindromic in base 10.

838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is an alternating number because its digits alternate between even and odd.

838 is an undulating number in base 10.

It is a plaindrome in base 12, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (315).

2^{838} is an apocalyptic number.

838 is a deficient number, since it is larger than the sum of its proper divisors (422).

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

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

The sum of its prime factors is 421.

The product of its digits is 192, while the sum is 19.

The square root of 838 is about 28.9482296523. The cubic root of 838 is about 9.4278936064.

Subtracting from 838 its product of digits (192), we obtain a palindrome (646).

It can be divided in two parts, 83 and 8, that added together give a triangular number (91 = T_{13}).

The spelling of 838 in words is "eight hundred thirty-eight", and thus it is an aban number and an oban number.

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