33956561 has 2 divisors, whose sum is σ = 33956562. Its totient is φ = 33956560.

The previous prime is 33956543. The next prime is 33956567. The reversal of 33956561 is 16565933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28462225 + 5494336 = 5335^2 + 2344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33956561 is a prime.

It is not a weakly prime, because it can be changed into another prime (33956567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16978280 + 16978281.

It is an arithmetic number, because the mean of its divisors is an integer number (16978281).

Almost surely, 2^33956561 is an apocalyptic number.

It is an amenable number.

33956561 is a deficient number, since it is larger than the sum of its proper divisors (1).

33956561 is an equidigital number, since it uses as much as digits as its factorization.

33956561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72900, while the sum is 38.

The square root of 33956561 is about 5827.2258408268. The cubic root of 33956561 is about 323.8231551564.

It can be divided in two parts, 33 and 956561, that multiplied together give a palindrome (31566513).

The spelling of 33956561 in words is "thirty-three million, nine hundred fifty-six thousand, five hundred sixty-one".