838242 has 48 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 258552.

The previous prime is 838207. The next prime is 838247. The reversal of 838242 is 242838.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838247) by changing a digit.

838242 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 23 ways as a sum of consecutive naturals, for example, 19473 + ... + 19515.

It is an arithmetic number, because the mean of its divisors is an integer number (41910).

2⁸³⁸²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).

838242 is an abundant number, since it is smaller than the sum of its proper divisors (1173438).

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

838242 is a wasteful number, since it uses less digits than its factorization.

838242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 838242 is about 915.5555690399. Note that the first 4 decimals coincide. The cubic root of 838242 is about 94.2880105698.

The spelling of 838242 in words is "eight hundred thirty-eight thousand, two hundred forty-two".