2813304 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 846720.

The previous prime is 2813299. The next prime is 2813309. The reversal of 2813304 is 4033182.

2813304 = 163² + 164² + ... + 233².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2813299) and next prime (2813309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813309) by changing a digit.

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, 22089 + ... + 22215.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

2^2813304 is an apocalyptic number.

2813304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2813304 is an abundant number, since it is smaller than the sum of its proper divisors (4928136).

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

2813304 is a wasteful number, since it uses less digits than its factorization.

2813304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

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

The square root of 2813304 is about 1677.2906724835. The cubic root of 2813304 is about 141.1688535923.

Adding to 2813304 its reverse (4033182), we get a palindrome (6846486).

The spelling of 2813304 in words is "two million, eight hundred thirteen thousand, three hundred four".