39564 has 36 divisors (see below), whose sum is σ = 115024. Its totient is φ = 11232.

The previous prime is 39563. The next prime is 39569. The reversal of 39564 is 46593.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (39563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174 + ... + 330.

2³⁹⁵⁶⁴ 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 39564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57512).

39564 is an abundant number, since it is smaller than the sum of its proper divisors (75460).

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

39564 is a wasteful number, since it uses less digits than its factorization.

39564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

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

The square root of 39564 is about 198.9070134510. The cubic root of 39564 is about 34.0748064558.

The spelling of 39564 in words is "thirty-nine thousand, five hundred sixty-four".