10005966 has 24 divisors (see below), whose sum is σ = 22623120. Its totient is φ = 3190176.

The previous prime is 10005953. The next prime is 10005967. The reversal of 10005966 is 66950001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005967) 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, 11671 + ... + 12498.

It is an arithmetic number, because the mean of its divisors is an integer number (942630).

Almost surely, 2^10005966 is an apocalyptic number.

10005966 is an abundant number, since it is smaller than the sum of its proper divisors (12617154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005966 is a wasteful number, since it uses less digits than its factorization.

10005966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24200 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10005966 is about 3163.2208269421. The cubic root of 10005966 is about 215.4863050102.

Adding to 10005966 its reverse (66950001), we get a palindrome (76955967).

The spelling of 10005966 in words is "ten million, five thousand, nine hundred sixty-six".