36771 has 16 divisors (see below), whose sum is σ = 59904. Its totient is φ = 19584.

The previous prime is 36767. The next prime is 36779. The reversal of 36771 is 17763.

It is not a de Polignac number, because 36771 - 2² = 36767 is a prime.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36771.

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, 306 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (3744).

2³⁶⁷⁷¹ is an apocalyptic number.

36771 is a deficient number, since it is larger than the sum of its proper divisors (23133).

36771 is a wasteful number, since it uses less digits than its factorization.

36771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its digits is 882, while the sum is 24.

The square root of 36771 is about 191.7576595602. The cubic root of 36771 is about 33.2533303616.

The spelling of 36771 in words is "thirty-six thousand, seven hundred seventy-one".