2792241 has 9 divisors (see below), whose sum is σ = 4040491. Its totient is φ = 1858152.

The previous prime is 2792219. The next prime is 2792249. The reversal of 2792241 is 1422972.

The square root of 2792241 is 1671.

It is a perfect power (a square), and thus also a powerful number.

2792241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 2547216 = 495^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2792241 - 2¹³ = 2784049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2792249) 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 8 ways as a sum of consecutive naturals, for example, 4735 + ... + 5291.

2^2792241 is an apocalyptic number.

2792241 is the 1671-st square number.

2792241 is the 836-th centered octagonal number.

It is an amenable number.

2792241 is a deficient number, since it is larger than the sum of its proper divisors (1248250).

2792241 is an frugal number, since it uses more digits than its factorization.

2792241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The cubic root of 2792241 is about 140.8156637457.

The spelling of 2792241 in words is "two million, seven hundred ninety-two thousand, two hundred forty-one".