2817792 has 54 divisors (see below), whose sum is σ = 8131032. Its totient is φ = 938496.

The previous prime is 2817779. The next prime is 2817797. The reversal of 2817792 is 2977182.

2817792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2817797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1693 + ... + 2915.

2^2817792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065516).

2817792 is an abundant number, since it is smaller than the sum of its proper divisors (5313240).

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

2817792 is a wasteful number, since it uses less digits than its factorization.

2817792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1228 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2817792 is about 1678.6280112044. The cubic root of 2817792 is about 141.2438815320.

The spelling of 2817792 in words is "two million, eight hundred seventeen thousand, seven hundred ninety-two".