2013361 has 12 divisors (see below), whose sum is σ = 2480868. Its totient is φ = 1623552.

The previous prime is 2013359. The next prime is 2013367. The reversal of 2013361 is 1633102.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 207025 = 1344^2 + 455^2 .

It is not a de Polignac number, because 2013361 - 2¹ = 2013359 is a prime.

It is a Duffinian number.

2013361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2013367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

2^2013361 is an apocalyptic number.

It is an amenable number.

2013361 is a deficient number, since it is larger than the sum of its proper divisors (467507).

2013361 is a wasteful number, since it uses less digits than its factorization.

2013361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2013361 is about 1418.9295260865. The cubic root of 2013361 is about 126.2720459491.

Adding to 2013361 its reverse (1633102), we get a palindrome (3646463).

The spelling of 2013361 in words is "two million, thirteen thousand, three hundred sixty-one".