33406729 has 2 divisors, whose sum is σ = 33406730. Its totient is φ = 33406728.

The previous prime is 33406691. The next prime is 33406781. The reversal of 33406729 is 92760433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18079504 + 15327225 = 4252^2 + 3915^2 .

It is a cyclic number.

It is not a de Polignac number, because 33406729 - 2⁷ = 33406601 is a prime.

It is a super-2 number, since 2×33406729² = 2232019084958882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33406694 and 33406703.

It is not a weakly prime, because it can be changed into another prime (33406799) 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, 16703364 + 16703365.

It is an arithmetic number, because the mean of its divisors is an integer number (16703365).

Almost surely, 2^33406729 is an apocalyptic number.

It is an amenable number.

33406729 is a deficient number, since it is larger than the sum of its proper divisors (1).

33406729 is an equidigital number, since it uses as much as digits as its factorization.

33406729 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 33406729 is about 5779.8554480194. The cubic root of 33406729 is about 322.0658308365.

The spelling of 33406729 in words is "thirty-three million, four hundred six thousand, seven hundred twenty-nine".