10065581 has 12 divisors (see below), whose sum is σ = 11070420. Its totient is φ = 9139200.

The previous prime is 10065571. The next prime is 10065589. The reversal of 10065581 is 18556001.

10065581 is digitally balanced in base 3, 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 6 ways, for example, as 42025 + 10023556 = 205^2 + 3166^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10065581 is a prime.

It is a super-2 number, since 2×10065581² = 202631841735122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10065581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065589) 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 11 ways as a sum of consecutive naturals, for example, 7781 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (922535).

Almost surely, 2^10065581 is an apocalyptic number.

It is an amenable number.

10065581 is a deficient number, since it is larger than the sum of its proper divisors (1004839).

10065581 is a wasteful number, since it uses less digits than its factorization.

10065581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 10065581 is about 3172.6299815768. The cubic root of 10065581 is about 215.9134097939.

The spelling of 10065581 in words is "ten million, sixty-five thousand, five hundred eighty-one".