36853 has 4 divisors (see below), whose sum is σ = 37260. Its totient is φ = 36448.

The previous prime is 36847. The next prime is 36857. The reversal of 36853 is 35863.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 26244 = 103^2 + 162^2 .

It is a cyclic number.

It is not a de Polignac number, because 36853 - 2⁵ = 36821 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

2³⁶⁸⁵³ is an apocalyptic number.

It is an amenable number.

36853 is a deficient number, since it is larger than the sum of its proper divisors (407).

36853 is a wasteful number, since it uses less digits than its factorization.

36853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its digits is 2160, while the sum is 25.

The square root of 36853 is about 191.9713520294. The cubic root of 36853 is about 33.2780305209.

Subtracting from 36853 its reverse (35863), we obtain a triangular number (990 = T₄₄).

The spelling of 36853 in words is "thirty-six thousand, eight hundred fifty-three".