2122849 has 9 divisors (see below), whose sum is σ = 2241201. Its totient is φ = 2010660.

The previous prime is 2122843. The next prime is 2122853. The reversal of 2122849 is 9482212.

The square root of 2122849 is 1457.

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

It is not a de Polignac number, because 2122849 - 2⁵ = 2122817 is a prime.

It is a Duffinian number.

2122849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2122843) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 45144 + ... + 45190.

2^2122849 is an apocalyptic number.

2122849 is the 1457-th square number.

2122849 is the 729-th centered octagonal number.

It is an amenable number.

2122849 is a deficient number, since it is larger than the sum of its proper divisors (118352).

2122849 is an frugal number, since it uses more digits than its factorization.

2122849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The cubic root of 2122849 is about 128.5206858551.

Multiplying 2122849 by its product of digits (2304), we get a square (4891044096 = 69936²).

The spelling of 2122849 in words is "two million, one hundred twenty-two thousand, eight hundred forty-nine".