36564132 has 96 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 10281600.

The previous prime is 36564131. The next prime is 36564173. The reversal of 36564132 is 23146563.

36564132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36564132.

It is not an unprimeable number, because it can be changed into a prime (36564131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152869 + ... + 153107.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^36564132 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 36564132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

36564132 is an abundant number, since it is smaller than the sum of its proper divisors (63429468).

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

36564132 is a wasteful number, since it uses less digits than its factorization.

36564132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 36564132 is about 6046.8282595093. The cubic root of 36564132 is about 331.9085367636.

Subtracting from 36564132 its reverse (23146563), we obtain a square (13417569 = 3663²).

The spelling of 36564132 in words is "thirty-six million, five hundred sixty-four thousand, one hundred thirty-two".