10077721 has 2 divisors, whose sum is σ = 10077722. Its totient is φ = 10077720.

The previous prime is 10077689. The next prime is 10077751. The reversal of 10077721 is 12777001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8637721 + 1440000 = 2939^2 + 1200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077721 - 2⁵ = 10077689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10077751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038860 + 5038861.

It is an arithmetic number, because the mean of its divisors is an integer number (5038861).

Almost surely, 2^10077721 is an apocalyptic number.

It is an amenable number.

10077721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077721 is an equidigital number, since it uses as much as digits as its factorization.

10077721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 686, while the sum is 25.

The square root of 10077721 is about 3174.5426442245. The cubic root of 10077721 is about 216.0001786121. Note that the first 3 decimals are identical.

Subtracting from 10077721 its sum of digits (25), we obtain a 9-th power (10077696 = 6⁹).

The spelling of 10077721 in words is "ten million, seventy-seven thousand, seven hundred twenty-one".