36565984 has 96 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 13934592.

The previous prime is 36565981. The next prime is 36565999. The reversal of 36565984 is 48956563.

36565984 = T₁₇₅ + T₁₇₆ + ... + T₆₀₇.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36565981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84232 + ... + 84664.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^36565984 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 36565984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

36565984 is an abundant number, since it is smaller than the sum of its proper divisors (55303136).

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

36565984 is a wasteful number, since it uses less digits than its factorization.

36565984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The square root of 36565984 is about 6046.9813957048. The cubic root of 36565984 is about 331.9141404723.

The spelling of 36565984 in words is "thirty-six million, five hundred sixty-five thousand, nine hundred eighty-four".