838013 has 16 divisors (see below), whose sum is σ = 984960. Its totient is φ = 705600.

The previous prime is 838003. The next prime is 838021. The reversal of 838013 is 310838.

It is a cyclic number.

It is not a de Polignac number, because 838013 - 2¹⁶ = 772477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 838013.

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 15 ways as a sum of consecutive naturals, for example, 11768 + ... + 11838.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

2⁸³⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

838013 is a deficient number, since it is larger than the sum of its proper divisors (146947).

838013 is a wasteful number, since it uses less digits than its factorization.

838013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 838013 is about 915.4304998196. The cubic root of 838013 is about 94.2794235822.

The spelling of 838013 in words is "eight hundred thirty-eight thousand, thirteen".