729822001 has 2 divisors, whose sum is σ = 729822002. Its totient is φ = 729822000.

The previous prime is 729821999. The next prime is 729822007. The reversal of 729822001 is 100228927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497290000 + 232532001 = 22300^2 + 15249^2 .

It is a cyclic number.

It is not a de Polignac number, because 729822001 - 2¹ = 729821999 is a prime.

Together with 729821999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (729822007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364911000 + 364911001.

It is an arithmetic number, because the mean of its divisors is an integer number (364911001).

Almost surely, 2^729822001 is an apocalyptic number.

It is an amenable number.

729822001 is a deficient number, since it is larger than the sum of its proper divisors (1).

729822001 is an equidigital number, since it uses as much as digits as its factorization.

729822001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 729822001 is about 27015.2179521099. The cubic root of 729822001 is about 900.3381449539.

The spelling of 729822001 in words is "seven hundred twenty-nine million, eight hundred twenty-two thousand, one".