2813382 has 48 divisors (see below), whose sum is σ = 7167888. Its totient is φ = 786240.

The previous prime is 2813353. The next prime is 2813401. The reversal of 2813382 is 2833182.

2813382 is a `hidden beast` number, since 281 + 3 + 382 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2028 + ... + 3120.

It is an arithmetic number, because the mean of its divisors is an integer number (149331).

2^2813382 is an apocalyptic number.

2813382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583944).

2813382 is an abundant number, since it is smaller than the sum of its proper divisors (4354506).

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

2813382 is a wasteful number, since it uses less digits than its factorization.

2813382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2813382 is about 1677.3139241060. The cubic root of 2813382 is about 141.1701582349.

It can be divided in two parts, 281 and 3382, that added together give a palindrome (3663).

The spelling of 2813382 in words is "two million, eight hundred thirteen thousand, three hundred eighty-two".