2117792 has 36 divisors (see below), whose sum is σ = 4448430. Its totient is φ = 992256.

The previous prime is 2117777. The next prime is 2117813. The reversal of 2117792 is 2977112.

It can be written as a sum of positive squares in 3 ways, for example, as 2062096 + 55696 = 1436^2 + 236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9134 + ... + 9362.

2^2117792 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 2117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224215).

2117792 is an abundant number, since it is smaller than the sum of its proper divisors (2330638).

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

2117792 is a wasteful number, since it uses less digits than its factorization.

2117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its digits is 1764, while the sum is 29.

The square root of 2117792 is about 1455.2635500142. The cubic root of 2117792 is about 128.4185517460.

The spelling of 2117792 in words is "two million, one hundred seventeen thousand, seven hundred ninety-two".