838053 has 8 divisors (see below), whose sum is σ = 1241600. Its totient is φ = 558684.

The previous prime is 838043. The next prime is 838063. The reversal of 838053 is 350838.

838053 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 (838043) and next prime (838063).

It is not a de Polignac number, because 838053 - 2⁴ = 838037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 31039 = 838053 / (8 + 3 + 8 + 0 + 5 + 3).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838003) 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, 15493 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (155200).

2⁸³⁸⁰⁵³ is an apocalyptic number.

It is an amenable number.

838053 is a deficient number, since it is larger than the sum of its proper divisors (403547).

838053 is a wasteful number, since it uses less digits than its factorization.

838053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31048 (or 31042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 838053 is about 915.4523472033. The cubic root of 838053 is about 94.2809236055.

The spelling of 838053 in words is "eight hundred thirty-eight thousand, fifty-three".