2221633 has 2 divisors, whose sum is σ = 2221634. Its totient is φ = 2221632.

The previous prime is 2221631. The next prime is 2221657. The reversal of 2221633 is 3361222.

It is the 609-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1495729 + 725904 = 1223^2 + 852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221633 - 2¹ = 2221631 is a prime.

Together with 2221631, it forms a pair of twin primes.

It is equal to p₁₆₄₁₂₅ and since 2221633 and 164125 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2221633.

It is not a weakly prime, because it can be changed into another prime (2221631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110816 + 1110817.

It is an arithmetic number, because the mean of its divisors is an integer number (1110817).

2^2221633 is an apocalyptic number.

It is an amenable number.

2221633 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221633 is an equidigital number, since it uses as much as digits as its factorization.

2221633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 2221633 is about 1490.5143407562. The cubic root of 2221633 is about 130.4840533844.

Adding to 2221633 its reverse (3361222), we get a palindrome (5582855).

It can be divided in two parts, 222 and 1633, that multiplied together give a triangular number (362526 = T₈₅₁).

The spelling of 2221633 in words is "two million, two hundred twenty-one thousand, six hundred thirty-three".