2823282 has 96 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 725760.

The previous prime is 2823277. The next prime is 2823283.

2823282 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29058 + ... + 29154.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2^2823282 is an apocalyptic number.

2823282 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 2823282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2823282 is an abundant number, since it is smaller than the sum of its proper divisors (5220558).

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

2823282 is a wasteful number, since it uses less digits than its factorization.

2823282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2823282 is about 1680.2624794954. The cubic root of 2823282 is about 141.3355521091.

The spelling of 2823282 in words is "two million, eight hundred twenty-three thousand, two hundred eighty-two".