33661073 has 2 divisors, whose sum is σ = 33661074. Its totient is φ = 33661072.

The previous prime is 33661063. The next prime is 33661079. The reversal of 33661073 is 37016633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16875664 + 16785409 = 4108^2 + 4097^2 .

It is a cyclic number.

It is not a de Polignac number, because 33661073 - 2¹⁸ = 33398929 is a prime.

It is a super-2 number, since 2×33661073² = 2266135671022658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33661079) 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, 16830536 + 16830537.

It is an arithmetic number, because the mean of its divisors is an integer number (16830537).

Almost surely, 2^33661073 is an apocalyptic number.

It is an amenable number.

33661073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33661073 is an equidigital number, since it uses as much as digits as its factorization.

33661073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 33661073 is about 5801.8163535224. The cubic root of 33661073 is about 322.8811206455.

The spelling of 33661073 in words is "thirty-three million, six hundred sixty-one thousand, seventy-three".