9006893 has 16 divisors (see below), whose sum is σ = 10919040. Its totient is φ = 7257600.

The previous prime is 9006883. The next prime is 9006919. The reversal of 9006893 is 3986009.

It is not a de Polignac number, because 9006893 - 2¹⁶ = 8941357 is a prime.

It is a super-2 number, since 2×9006893² = 162248243026898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9006853) 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 15 ways as a sum of consecutive naturals, for example, 31913 + ... + 32193.

It is an arithmetic number, because the mean of its divisors is an integer number (682440).

Almost surely, 2^9006893 is an apocalyptic number.

It is an amenable number.

9006893 is a deficient number, since it is larger than the sum of its proper divisors (1912147).

9006893 is a wasteful number, since it uses less digits than its factorization.

9006893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 9006893 is about 3001.1486134479. The cubic root of 9006893 is about 208.0614725234.

The spelling of 9006893 in words is "nine million, six thousand, eight hundred ninety-three".