36776 has 8 divisors (see below), whose sum is σ = 68970. Its totient is φ = 18384.

The previous prime is 36767. The next prime is 36779. The reversal of 36776 is 67763.

36776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 676 = 190^2 + 26^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36776.

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 as a sum of consecutive naturals, namely, 2291 + ... + 2306.

2³⁶⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

36776 is a deficient number, since it is larger than the sum of its proper divisors (32194).

36776 is a wasteful number, since it uses less digits than its factorization.

36776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4599 counting only the distinct ones).

The product of its digits is 5292, while the sum is 29.

The square root of 36776 is about 191.7706964059. The cubic root of 36776 is about 33.2548375195.

The spelling of 36776 in words is "thirty-six thousand, seven hundred seventy-six".