36153 has 16 divisors (see below), whose sum is σ = 58240. Its totient is φ = 22032.

The previous prime is 36151. The next prime is 36161. The reversal of 36153 is 35163.

36153 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36153 - 2¹ = 36151 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36151) 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, 300 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2³⁶¹⁵³ is an apocalyptic number.

It is an amenable number.

36153 is a deficient number, since it is larger than the sum of its proper divisors (22087).

36153 is a wasteful number, since it uses less digits than its factorization.

36153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 36153 is about 190.1394225299. The cubic root of 36153 is about 33.0659836798.

Subtracting from 36153 its reverse (35163), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 361 and 53, that added together give a palindrome (414).

The spelling of 36153 in words is "thirty-six thousand, one hundred fifty-three".