10220033 has 2 divisors, whose sum is σ = 10220034. Its totient is φ = 10220032.

The previous prime is 10220011. The next prime is 10220047. The reversal of 10220033 is 33002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5166529 + 5053504 = 2273^2 + 2248^2 .

It is an emirp because it is prime and its reverse (33002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10220033 - 2¹⁰ = 10219009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10219996 and 10220023.

It is not a weakly prime, because it can be changed into another prime (10220003) 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 as a sum of consecutive naturals, namely, 5110016 + 5110017.

It is an arithmetic number, because the mean of its divisors is an integer number (5110017).

Almost surely, 2^10220033 is an apocalyptic number.

It is an amenable number.

10220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220033 is an equidigital number, since it uses as much as digits as its factorization.

10220033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 10220033 is about 3196.8786339178. The cubic root of 10220033 is about 217.0121748427.

Adding to 10220033 its reverse (33002201), we get a palindrome (43222234).

The spelling of 10220033 in words is "ten million, two hundred twenty thousand, thirty-three".