9967566 has 32 divisors (see below), whose sum is σ = 23102208. Its totient is φ = 2808000.

The previous prime is 9967549. The next prime is 9967597. The reversal of 9967566 is 6657699.

9967566 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (721944).

Almost surely, 2^9967566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9967566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551104).

9967566 is an abundant number, since it is smaller than the sum of its proper divisors (13134642).

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

9967566 is a wasteful number, since it uses less digits than its factorization.

9967566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336.

The product of its digits is 612360, while the sum is 48.

The square root of 9967566 is about 3157.1452294755. The cubic root of 9967566 is about 215.2102936117.

The spelling of 9967566 in words is "nine million, nine hundred sixty-seven thousand, five hundred sixty-six".