2106792 has 48 divisors (see below), whose sum is σ = 5908500. Its totient is φ = 677376.

The previous prime is 2106781. The next prime is 2106809. The reversal of 2106792 is 2976012.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 15876 = 1446^2 + 126^2 .

It is an unprimeable number.

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, 1584 + ... + 2592.

2^2106792 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 2106792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954250).

2106792 is an abundant number, since it is smaller than the sum of its proper divisors (3801708).

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

2106792 is a wasteful number, since it uses less digits than its factorization.

2106792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2106792 is about 1451.4792454596. The cubic root of 2106792 is about 128.1958265552.

Adding to 2106792 its product of nonzero digits (1512), we get a square (2108304 = 1452²).

It can be divided in two parts, 210679 and 2, that added together give a square (210681 = 459²).

The spelling of 2106792 in words is "two million, one hundred six thousand, seven hundred ninety-two".