838201 has 16 divisors (see below), whose sum is σ = 1055488. Its totient is φ = 648000.

The previous prime is 838193. The next prime is 838207. The reversal of 838201 is 102838.

838201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 4-Lehmer number, since φ(838201) divides (838201-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 838201 - 2³ = 838193 is a prime.

It is a deceptive number, since it divides R₈₃₈₂₀₀.

838201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (838207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5476 + ... + 5626.

It is an arithmetic number, because the mean of its divisors is an integer number (65968).

It is a Poulet number, since it divides 2⁸³⁸²⁰⁰-1.

2⁸³⁸²⁰¹ is an apocalyptic number.

It is an amenable number.

838201 is a deficient number, since it is larger than the sum of its proper divisors (217287).

838201 is a wasteful number, since it uses less digits than its factorization.

838201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 838201 is about 915.5331779897. The cubic root of 838201 is about 94.2864732765.

The spelling of 838201 in words is "eight hundred thirty-eight thousand, two hundred one".