734006729 has 2 divisors, whose sum is σ = 734006730. Its totient is φ = 734006728.

The previous prime is 734006657. The next prime is 734006743. The reversal of 734006729 is 927600437.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 726194704 + 7812025 = 26948^2 + 2795^2 .

It is an emirp because it is prime and its reverse (927600437) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 734006729 - 2²⁰ = 732958153 is a prime.

It is a super-3 number, since 3×734006729³ (a number of 28 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 734006692 and 734006701.

It is not a weakly prime, because it can be changed into another prime (734006759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 367003364 + 367003365.

It is an arithmetic number, because the mean of its divisors is an integer number (367003365).

Almost surely, 2^734006729 is an apocalyptic number.

It is an amenable number.

734006729 is a deficient number, since it is larger than the sum of its proper divisors (1).

734006729 is an equidigital number, since it uses as much as digits as its factorization.

734006729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 734006729 is about 27092.5585539646. The cubic root of 734006729 is about 902.0556833585.

The spelling of 734006729 in words is "seven hundred thirty-four million, six thousand, seven hundred twenty-nine".