10066585 has 8 divisors (see below), whose sum is σ = 12097800. Its totient is φ = 8041344.

The previous prime is 10066583. The next prime is 10066597. The reversal of 10066585 is 58566001.

10066585 = 2243² + 2244².

10066585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5031049 + 5035536 = 2243^2 + 2244^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10066585 - 2¹ = 10066583 is a prime.

It is a super-2 number, since 2×10066585² = 202672267124450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4191 + ... + 6139.

It is an arithmetic number, because the mean of its divisors is an integer number (1512225).

Almost surely, 2^10066585 is an apocalyptic number.

10066585 is the 2244-th centered square number.

It is an amenable number.

10066585 is a deficient number, since it is larger than the sum of its proper divisors (2031215).

10066585 is a wasteful number, since it uses less digits than its factorization.

10066585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 10066585 is about 3172.7882059791. The cubic root of 10066585 is about 215.9205883779.

The spelling of 10066585 in words is "ten million, sixty-six thousand, five hundred eighty-five".