36783 has 12 divisors (see below), whose sum is σ = 54808. Its totient is φ = 23760.

The previous prime is 36781. The next prime is 36787. The reversal of 36783 is 38763.

It is a happy number.

It is not a de Polignac number, because 36783 - 2¹ = 36781 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36781) 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 11 ways as a sum of consecutive naturals, for example, 516 + ... + 582.

2³⁶⁷⁸³ is an apocalyptic number.

36783 is a deficient number, since it is larger than the sum of its proper divisors (18025).

36783 is a wasteful number, since it uses less digits than its factorization.

36783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 36783 is about 191.7889465011. The cubic root of 36783 is about 33.2569473112.

It can be divided in two parts, 3 and 6783, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 36783 in words is "thirty-six thousand, seven hundred eighty-three".