93564 has 36 divisors (see below), whose sum is σ = 248976. Its totient is φ = 29568.

The previous prime is 93563. The next prime is 93581. The reversal of 93564 is 46539.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93563) 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 11 ways as a sum of consecutive naturals, for example, 772 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2⁹³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

93564 is an abundant number, since it is smaller than the sum of its proper divisors (155412).

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

93564 is a wasteful number, since it uses less digits than its factorization.

93564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 93564 is about 305.8823303167. The cubic root of 93564 is about 45.3979518699.

It can be divided in two parts, 935 and 64, that added together give a palindrome (999).

The spelling of 93564 in words is "ninety-three thousand, five hundred sixty-four".