838125 has 30 divisors (see below), whose sum is σ = 1522950. Its totient is φ = 444000.

The previous prime is 838099. The next prime is 838133. The reversal of 838125 is 521838.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 509796 + 328329 = 714^2 + 573^2 .

It is not a de Polignac number, because 838125 - 2⁵ = 838093 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838125.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5551 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (50765).

2⁸³⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

838125 is a deficient number, since it is larger than the sum of its proper divisors (684825).

838125 is a wasteful number, since it uses less digits than its factorization.

838125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

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

The square root of 838125 is about 915.4916711800. The cubic root of 838125 is about 94.2836235270.

The spelling of 838125 in words is "eight hundred thirty-eight thousand, one hundred twenty-five".