2253821 has 2 divisors, whose sum is σ = 2253822. Its totient is φ = 2253820.

The previous prime is 2253803. The next prime is 2253827. The reversal of 2253821 is 1283522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2102500 + 151321 = 1450^2 + 389^2 .

It is a cyclic number.

It is not a de Polignac number, because 2253821 - 2¹⁸ = 1991677 is a prime.

It is a d-powerful number, because it can be written as 2⁴ + 2¹⁷ + 5² + 3¹³ + 8⁴ + 2¹⁹ + 1 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2253827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126910 + 1126911.

It is an arithmetic number, because the mean of its divisors is an integer number (1126911).

2^2253821 is an apocalyptic number.

It is an amenable number.

2253821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253821 is an equidigital number, since it uses as much as digits as its factorization.

2253821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 23.

The square root of 2253821 is about 1501.2731263831. The cubic root of 2253821 is about 131.1112044484. Note that the first 3 decimals are identical.

Subtracting from 2253821 its reverse (1283522), we obtain a cube (970299 = 99³).

The spelling of 2253821 in words is "two million, two hundred fifty-three thousand, eight hundred twenty-one".