10066771 has 32 divisors (see below), whose sum is σ = 12954816. Its totient is φ = 7680000.

The previous prime is 10066753. The next prime is 10066783. The reversal of 10066771 is 17766001.

It is a 12-Lehmer number, since φ(10066771) divides (10066771-1)¹².

It is a cyclic number.

It is not a de Polignac number, because 10066771 - 2¹¹ = 10064723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10066711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99621 + ... + 99721.

It is an arithmetic number, because the mean of its divisors is an integer number (404838).

Almost surely, 2^10066771 is an apocalyptic number.

10066771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10066771 is a deficient number, since it is larger than the sum of its proper divisors (2888045).

10066771 is a wasteful number, since it uses less digits than its factorization.

10066771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 10066771 is about 3172.8175176017. The cubic root of 10066771 is about 215.9219182225.

It can be divided in two parts, 1006 and 6771, that added together give a palindrome (7777).

The spelling of 10066771 in words is "ten million, sixty-six thousand, seven hundred seventy-one".