33729961 has 2 divisors, whose sum is σ = 33729962. Its totient is φ = 33729960.

The previous prime is 33729947. The next prime is 33729967. The reversal of 33729961 is 16992733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 5851561 = 5280^2 + 2419^2 .

It is an emirp because it is prime and its reverse (16992733) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33729961 - 2⁷ = 33729833 is a prime.

It is a super-2 number, since 2×33729961² = 2275420538123042, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33729967) 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, 16864980 + 16864981.

It is an arithmetic number, because the mean of its divisors is an integer number (16864981).

Almost surely, 2^33729961 is an apocalyptic number.

It is an amenable number.

33729961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33729961 is an equidigital number, since it uses as much as digits as its factorization.

33729961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61236, while the sum is 40.

The square root of 33729961 is about 5807.7500807111. The cubic root of 33729961 is about 323.1012312616.

The spelling of 33729961 in words is "thirty-three million, seven hundred twenty-nine thousand, nine hundred sixty-one".