838152 has 48 divisors (see below), whose sum is σ = 2595840. Its totient is φ = 239328.

The previous prime is 838141. The next prime is 838153. The reversal of 838152 is 251838.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838152.

It is not an unprimeable number, because it can be changed into a prime (838153) by changing a digit.

838152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (54080).

2⁸³⁸¹⁵² is an apocalyptic number.

It is an amenable number.

838152 is an abundant number, since it is smaller than the sum of its proper divisors (1757688).

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

838152 is a wasteful number, since it uses less digits than its factorization.

838152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1675 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 838152 is about 915.5064172358. The cubic root of 838152 is about 94.2846359578.

It can be divided in two parts, 838 and 152, that added together give a triangular number (990 = T₄₄).

The spelling of 838152 in words is "eight hundred thirty-eight thousand, one hundred fifty-two".