10724689 has 2 divisors, whose sum is σ = 10724690. Its totient is φ = 10724688.

The previous prime is 10724677. The next prime is 10724711. The reversal of 10724689 is 98642701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 4068289 = 2580^2 + 2017^2 .

It is a cyclic number.

It is not a de Polignac number, because 10724689 - 2⁹ = 10724177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10724629) 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, 5362344 + 5362345.

It is an arithmetic number, because the mean of its divisors is an integer number (5362345).

Almost surely, 2^10724689 is an apocalyptic number.

It is an amenable number.

10724689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10724689 is an equidigital number, since it uses as much as digits as its factorization.

10724689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 10724689 is about 3274.8570961189. The cubic root of 10724689 is about 220.5268982326.

The spelling of 10724689 in words is "ten million, seven hundred twenty-four thousand, six hundred eighty-nine".