10727641 has 2 divisors, whose sum is σ = 10727642. Its totient is φ = 10727640.

The previous prime is 10727627. The next prime is 10727693. The reversal of 10727641 is 14672701.

10727641 is nontrivially palindromic in base 13.

10727641 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., 10055241 + 672400 = 3171^2 + 820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10727641 - 2¹⁷ = 10596569 is a prime.

It is equal to p₇₀₉₇₄₁ and since 10727641 and 709741 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10727611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5363820 + 5363821.

It is an arithmetic number, because the mean of its divisors is an integer number (5363821).

Almost surely, 2^10727641 is an apocalyptic number.

It is an amenable number.

10727641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10727641 is an equidigital number, since it uses as much as digits as its factorization.

10727641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 10727641 is about 3275.3077717979. The cubic root of 10727641 is about 220.5471299205.

The spelling of 10727641 in words is "ten million, seven hundred twenty-seven thousand, six hundred forty-one".