727829021 has 2 divisors, whose sum is σ = 727829022. Its totient is φ = 727829020.

The previous prime is 727828963. The next prime is 727829101. The reversal of 727829021 is 120928727.

727829021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 684084025 + 43744996 = 26155^2 + 6614^2 .

It is an emirp because it is prime and its reverse (120928727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 727829021 - 2²⁶ = 660720157 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (727822021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363914510 + 363914511.

It is an arithmetic number, because the mean of its divisors is an integer number (363914511).

Almost surely, 2^727829021 is an apocalyptic number.

It is an amenable number.

727829021 is a deficient number, since it is larger than the sum of its proper divisors (1).

727829021 is an equidigital number, since it uses as much as digits as its factorization.

727829021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 727829021 is about 26978.3064887328. The cubic root of 727829021 is about 899.5178573934.

The spelling of 727829021 in words is "seven hundred twenty-seven million, eight hundred twenty-nine thousand, twenty-one".