10006711 has 32 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 7620480.

The previous prime is 10006699. The next prime is 10006721. The reversal of 10006711 is 11760001.

10006711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 7-Lehmer number, since φ(10006711) divides (10006711-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 10006711 - 2¹¹ = 10004663 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78730 + ... + 78856.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^10006711 is an apocalyptic number.

10006711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10006711 is a deficient number, since it is larger than the sum of its proper divisors (2895689).

10006711 is a wasteful number, since it uses less digits than its factorization.

10006711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 10006711 is about 3163.3385844705. The cubic root of 10006711 is about 215.4916529301.

Adding to 10006711 its reverse (11760001), we get a palindrome (21766712).

The spelling of 10006711 in words is "ten million, six thousand, seven hundred eleven".