33205661 has 2 divisors, whose sum is σ = 33205662. Its totient is φ = 33205660.

The previous prime is 33205643. The next prime is 33205663. The reversal of 33205661 is 16650233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24940036 + 8265625 = 4994^2 + 2875^2 .

It is an emirp because it is prime and its reverse (16650233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33205661 - 2¹⁸ = 32943517 is a prime.

It is a super-2 number, since 2×33205661² = 2205231844893842, which contains 22 as substring.

Together with 33205663, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33205661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33205663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16602830 + 16602831.

It is an arithmetic number, because the mean of its divisors is an integer number (16602831).

Almost surely, 2^33205661 is an apocalyptic number.

It is an amenable number.

33205661 is a deficient number, since it is larger than the sum of its proper divisors (1).

33205661 is an equidigital number, since it uses as much as digits as its factorization.

33205661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 33205661 is about 5762.4353358628. The cubic root of 33205661 is about 321.4183815512.

Adding to 33205661 its reverse (16650233), we get a palindrome (49855894).

The spelling of 33205661 in words is "thirty-three million, two hundred five thousand, six hundred sixty-one".