2013414 has 32 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 610080.

The previous prime is 2013409. The next prime is 2013439. The reversal of 2013414 is 4143102.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013393 and 2013402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6319 + ... + 6629.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

2^2013414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

2013414 is an abundant number, since it is smaller than the sum of its proper divisors (2389530).

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

2013414 is a wasteful number, since it uses less digits than its factorization.

2013414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2013414 is about 1418.9482020144. The cubic root of 2013414 is about 126.2731539405.

Adding to 2013414 its reverse (4143102), we get a palindrome (6156516).

The spelling of 2013414 in words is "two million, thirteen thousand, four hundred fourteen".