36777 has 16 divisors (see below), whose sum is σ = 56448. Its totient is φ = 21120.

The previous prime is 36767. The next prime is 36779. The reversal of 36777 is 77763.

It is a happy number.

It is not a de Polignac number, because 36777 - 2⁴ = 36761 is a prime.

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36777.

It is not an unprimeable number, because it can be changed into a prime (36779) 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, 877 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

36777 is a deficient number, since it is larger than the sum of its proper divisors (19671).

36777 is a wasteful number, since it uses less digits than its factorization.

36777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80.

The product of its digits is 6174, while the sum is 30.

The square root of 36777 is about 191.7733036687. The cubic root of 36777 is about 33.2551389347.

Subtracting from 36777 its product of digits (6174), we obtain a palindrome (30603).

It can be divided in two parts, 367 and 77, that added together give a palindrome (444).

The spelling of 36777 in words is "thirty-six thousand, seven hundred seventy-seven".