973566 has 48 divisors (see below), whose sum is σ = 2394000. Its totient is φ = 293040.

The previous prime is 973561. The next prime is 973591. The reversal of 973566 is 665379.

It is a happy number.

973566 is a `hidden beast` number, since 97 + 3 + 566 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 973566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973561) by changing a digit.

973566 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6460 + ... + 6608.

It is an arithmetic number, because the mean of its divisors is an integer number (49875).

2⁹⁷³⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197000).

973566 is an abundant number, since it is smaller than the sum of its proper divisors (1420434).

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

973566 is a wasteful number, since it uses less digits than its factorization.

973566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 973566 is about 986.6944815899. The cubic root of 973566 is about 99.1109866400.

It can be divided in two parts, 9735 and 66, that added together give a square (9801 = 99²).

The spelling of 973566 in words is "nine hundred seventy-three thousand, five hundred sixty-six".