1007814721 has 2 divisors, whose sum is σ = 1007814722. Its totient is φ = 1007814720.

The previous prime is 1007814707. The next prime is 1007814751. The reversal of 1007814721 is 1274187001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007745025 + 69696 = 31745^2 + 264^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007814721 - 2⁹ = 1007814209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007814751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503907360 + 503907361.

It is an arithmetic number, because the mean of its divisors is an integer number (503907361).

Almost surely, 2^1007814721 is an apocalyptic number.

It is an amenable number.

1007814721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007814721 is an equidigital number, since it uses as much as digits as its factorization.

1007814721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 1007814721 is about 31746.0977286973. The cubic root of 1007814721 is about 1002.5981507664.

The spelling of 1007814721 in words is "one billion, seven million, eight hundred fourteen thousand, seven hundred twenty-one".