2792 has 8 divisors (see below), whose sum is σ = 5250. Its totient is φ = 1392.

The previous prime is 2791. The next prime is 2797. The reversal of 2792 is 2972.

2792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2116 + 676 = 46^2 + 26^2 .

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

It is a d-powerful number, because it can be written as 2³ + 9³ + 7 + 2¹¹ .

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167 + ... + 182.

2²⁷⁹² is an apocalyptic number.

It is an amenable number.

2792 is a deficient number, since it is larger than the sum of its proper divisors (2458).

2792 is a wasteful number, since it uses less digits than its factorization.

2792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 2792 is about 52.8393792545. The cubic root of 2792 is about 14.0811612334.

Subtracting from 2792 its sum of digits (20), we obtain a palindrome (2772).

The spelling of 2792 in words is "two thousand, seven hundred ninety-two".