97566 has 32 divisors (see below), whose sum is σ = 235008. Its totient is φ = 26400.

The previous prime is 97561. The next prime is 97571. The reversal of 97566 is 66579.

It is an interprime number because it is at equal distance from previous prime (97561) and next prime (97571).

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (7344).

2⁹⁷⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504).

97566 is an abundant number, since it is smaller than the sum of its proper divisors (137442).

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

97566 is a wasteful number, since it uses less digits than its factorization.

97566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 11340, while the sum is 33.

The square root of 97566 is about 312.3555666224. The cubic root of 97566 is about 46.0362033834.

The spelling of 97566 in words is "ninety-seven thousand, five hundred sixty-six".