33604729 has 2 divisors, whose sum is σ = 33604730. Its totient is φ = 33604728.

The previous prime is 33604691. The next prime is 33604757. The reversal of 33604729 is 92740633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27092025 + 6512704 = 5205^2 + 2552^2 .

It is a cyclic number.

It is not a de Polignac number, because 33604729 - 2²¹ = 31507577 is a prime.

It is a super-2 number, since 2×33604729² = 2258555622326882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33604694 and 33604703.

It is not a weakly prime, because it can be changed into another prime (33604429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16802364 + 16802365.

It is an arithmetic number, because the mean of its divisors is an integer number (16802365).

Almost surely, 2^33604729 is an apocalyptic number.

It is an amenable number.

33604729 is a deficient number, since it is larger than the sum of its proper divisors (1).

33604729 is an equidigital number, since it uses as much as digits as its factorization.

33604729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 33604729 is about 5796.9585991276. The cubic root of 33604729 is about 322.7008671933.

The spelling of 33604729 in words is "thirty-three million, six hundred four thousand, seven hundred twenty-nine".