2824 has 8 divisors (see below), whose sum is σ = 5310. Its totient is φ = 1408.

The previous prime is 2819. The next prime is 2833. The reversal of 2824 is 4282.

It can be written as a sum of positive squares in only one way, i.e., 2500 + 324 = 50^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁹ + 2¹¹ + 8 + 4⁴ .

It is a plaindrome in base 9.

It is a nialpdrome in base 8 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2798 and 2807.

It is an unprimeable number.

2824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169 + ... + 184.

2²⁸²⁴ is an apocalyptic number.

It is an amenable number.

2824 is a deficient number, since it is larger than the sum of its proper divisors (2486).

2824 is a wasteful number, since it uses less digits than its factorization.

2824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 2824 is about 53.1413210223. The cubic root of 2824 is about 14.1347532294.

It can be divided in two parts, 282 and 4, that multiplied together give a triangular number (1128 = T₄₇).

The spelling of 2824 in words is "two thousand, eight hundred twenty-four".