36201 has 8 divisors (see below), whose sum is σ = 52704. Its totient is φ = 21920.

The previous prime is 36191. The next prime is 36209. The reversal of 36201 is 10263.

36201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36201 - 2⁶ = 36137 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36201.

It is not an unprimeable number, because it can be changed into a prime (36209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (6588).

2³⁶²⁰¹ is an apocalyptic number.

It is an amenable number.

36201 is a deficient number, since it is larger than the sum of its proper divisors (16503).

36201 is a wasteful number, since it uses less digits than its factorization.

36201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 36201 is about 190.2656038279. The cubic root of 36201 is about 33.0806110073.

Adding to 36201 its reverse (10263), we get a palindrome (46464).

The spelling of 36201 in words is "thirty-six thousand, two hundred one".