2793 has 12 divisors (see below), whose sum is σ = 4560. Its totient is φ = 1512.

The previous prime is 2791. The next prime is 2797. The reversal of 2793 is 3972.

Subtracting from 2793 its sum of digits (21), we obtain a palindrome (2772).

Multipling 2793 by its sum of digits (21), we get a triangular number (58653 = T_{342}).

Subtracting from 2793 its product of digits (378), we obtain a triangular number (2415 = T_{69}).

It can be divided in two parts, 279 and 3, that added together give a palindrome (282).

It is not a de Polignac number, because 2793 - 2^{1} = 2791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as **2**^{11} + **9** + **7** + **3**^{6} .

It is a plaindrome in base 13.

It is a nialpdrome in base 7 and base 15.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (2791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (380).

2^{2793} is an apocalyptic number.

It is an amenable number.

2793 is a deficient number, since it is larger than the sum of its proper divisors (1767).

2793 is a wasteful number, since it uses less digits than its factorization.

2793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 29 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 2793 is about 52.8488410469. The cubic root of 2793 is about 14.0828421647.

The spelling of 2793 in words is "two thousand, seven hundred ninety-three".

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