36505216 has 48 divisors (see below), whose sum is σ = 79971570. Its totient is φ = 16586240.

The previous prime is 36505193. The next prime is 36505241. The reversal of 36505216 is 61250563.

It can be written as a sum of positive squares in only one way, i.e., 34762816 + 1742400 = 5896^2 + 1320^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14310 + ... + 16666.

Almost surely, 2^36505216 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 36505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39985785).

36505216 is an abundant number, since it is smaller than the sum of its proper divisors (43466354).

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

36505216 is a wasteful number, since it uses less digits than its factorization.

36505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 36505216 is about 6041.9546506077. The cubic root of 36505216 is about 331.7301722064.

Adding to 36505216 its reverse (61250563), we get a palindrome (97755779).

The spelling of 36505216 in words is "thirty-six million, five hundred five thousand, two hundred sixteen".