2252821 has 2 divisors, whose sum is σ = 2252822. Its totient is φ = 2252820.

The previous prime is 2252779. The next prime is 2252867. The reversal of 2252821 is 1282522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1782225 + 470596 = 1335^2 + 686^2 .

It is a cyclic number.

It is not a de Polignac number, because 2252821 - 2⁷ = 2252693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2252792 and 2252801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2252221) 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 as a sum of consecutive naturals, namely, 1126410 + 1126411.

It is an arithmetic number, because the mean of its divisors is an integer number (1126411).

2^2252821 is an apocalyptic number.

It is an amenable number.

2252821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2252821 is an equidigital number, since it uses as much as digits as its factorization.

2252821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640, while the sum is 22.

The square root of 2252821 is about 1500.9400387757. The cubic root of 2252821 is about 131.0918106279.

Subtracting from 2252821 its reverse (1282522), we obtain a cube (970299 = 99³).

The spelling of 2252821 in words is "two million, two hundred fifty-two thousand, eight hundred twenty-one".