36133 has 4 divisors (see below), whose sum is σ = 37728. Its totient is φ = 34540.

The previous prime is 36131. The next prime is 36137. The reversal of 36133 is 33163.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33163 = 13 ⋅2551.

It is a cyclic number.

It is not a de Polignac number, because 36133 - 2¹ = 36131 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131) 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 3 ways as a sum of consecutive naturals, for example, 763 + ... + 808.

It is an arithmetic number, because the mean of its divisors is an integer number (9432).

2³⁶¹³³ is an apocalyptic number.

It is an amenable number.

36133 is a deficient number, since it is larger than the sum of its proper divisors (1595).

36133 is a wasteful number, since it uses less digits than its factorization.

36133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594.

The product of its digits is 162, while the sum is 16.

The square root of 36133 is about 190.0868222681. The cubic root of 36133 is about 33.0598851388.

Adding to 36133 its reverse (33163), we get a palindrome (69296).

It can be divided in two parts, 36 and 133, that added together give a square (169 = 13²).

The spelling of 36133 in words is "thirty-six thousand, one hundred thirty-three".