2292 has 12 divisors (see below), whose sum is σ = 5376. Its totient is φ = 760.

The previous prime is 2287. The next prime is 2293. The reversal of 2292 is 2922.

2292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (448).

2²²⁹² is an apocalyptic number.

It is an amenable number.

2292 is an abundant number, since it is smaller than the sum of its proper divisors (3084).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688).

2292 is a wasteful number, since it uses less digits than its factorization.

2292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 2292 is about 47.8748368143. The cubic root of 2292 is about 13.1847390205.

Subtracting 2292 from its reverse (2922), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 229 and 2, that added together give a triangular number (231 = T₂₁).

The spelling of 2292 in words is "two thousand, two hundred ninety-two".