2013834 has 16 divisors (see below), whose sum is σ = 4203072. Its totient is φ = 642048.

The previous prime is 2013833. The next prime is 2013859. The reversal of 2013834 is 4383102.

It is a happy number.

It is a super-3 number, since 3×2013834³ = 24501476774642333112, which contains 333 as substring.

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 2013834.

It is not an unprimeable number, because it can be changed into a prime (2013833) 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, 7159 + ... + 7434.

It is an arithmetic number, because the mean of its divisors is an integer number (262692).

2^2013834 is an apocalyptic number.

2013834 is an abundant number, since it is smaller than the sum of its proper divisors (2189238).

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

2013834 is a wasteful number, since it uses less digits than its factorization.

2013834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14621.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2013834 is about 1419.0961912429. The cubic root of 2013834 is about 126.2819335618.

Adding to 2013834 its reverse (4383102), we get a palindrome (6396936).

The spelling of 2013834 in words is "two million, thirteen thousand, eight hundred thirty-four".