838414 has 8 divisors (see below), whose sum is σ = 1287000. Its totient is φ = 409416.

The previous prime is 838403. The next prime is 838421. The reversal of 838414 is 414838.

838414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

838414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4789 + ... + 4960.

It is an arithmetic number, because the mean of its divisors is an integer number (160875).

2⁸³⁸⁴¹⁴ is an apocalyptic number.

838414 is a deficient number, since it is larger than the sum of its proper divisors (448586).

838414 is a wasteful number, since it uses less digits than its factorization.

838414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794.

The product of its digits is 3072, while the sum is 28.

The square root of 838414 is about 915.6494962593. The cubic root of 838414 is about 94.2944591565.

It can be divided in two parts, 83841 and 4, that added together give a triangular number (83845 = T₄₀₉).

The spelling of 838414 in words is "eight hundred thirty-eight thousand, four hundred fourteen".