36795 has 16 divisors (see below), whose sum is σ = 64512. Its totient is φ = 17760.

The previous prime is 36793. The next prime is 36809. The reversal of 36795 is 59763.

It is not a de Polignac number, because 36795 - 2¹ = 36793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36791) 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 15 ways as a sum of consecutive naturals, for example, 54 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2³⁶⁷⁹⁵ is an apocalyptic number.

36795 is a deficient number, since it is larger than the sum of its proper divisors (27717).

36795 is a wasteful number, since it uses less digits than its factorization.

36795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its digits is 5670, while the sum is 30.

The square root of 36795 is about 191.8202283389. The cubic root of 36795 is about 33.2605634743.

Subtracting from 36795 its product of digits (5670), we obtain a triangular number (31125 = T₂₄₉).

The spelling of 36795 in words is "thirty-six thousand, seven hundred ninety-five".