2097792 has 64 divisors (see below), whose sum is σ = 6201600. Its totient is φ = 698112.

The previous prime is 2097787. The next prime is 2097803. The reversal of 2097792 is 2977902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 0 + 9² + 7 + 7³ + 9² + 2²¹ .

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3153 + ... + 3759.

It is an arithmetic number, because the mean of its divisors is an integer number (96900).

2^2097792 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 2097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100800).

2097792 is an abundant number, since it is smaller than the sum of its proper divisors (4103808).

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

2097792 is an equidigital number, since it uses as much as digits as its factorization.

2097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2097792 is about 1448.3756418830. The cubic root of 2097792 is about 128.0130195090.

It can be divided in two parts, 209 and 7792, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 2097792 in words is "two million, ninety-seven thousand, seven hundred ninety-two".