838038 has 16 divisors (see below), whose sum is σ = 1686960. Its totient is φ = 277536.

The previous prime is 838037. The next prime is 838039. The reversal of 838038 is 830838.

838038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (838037) and next prime (838039).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 837996 and 838014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 1536.

It is an arithmetic number, because the mean of its divisors is an integer number (105435).

2⁸³⁸⁰³⁸ is an apocalyptic number.

838038 is an abundant number, since it is smaller than the sum of its proper divisors (848922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

838038 is a wasteful number, since it uses less digits than its factorization.

838038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 838038 is about 915.4441544955. Note that the first 3 decimals coincide. The cubic root of 838038 is about 94.2803611023.

The spelling of 838038 in words is "eight hundred thirty-eight thousand, thirty-eight".