36767 has 2 divisors, whose sum is σ = 36768. Its totient is φ = 36766.

The previous prime is 36761. The next prime is 36779. The reversal of 36767 is 76763.

36767 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36767 is a prime.

It is a Chen prime.

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

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 36767.

It is not a weakly prime, because it can be changed into another prime (36761) 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 as a sum of consecutive naturals, namely, 18383 + 18384.

It is an arithmetic number, because the mean of its divisors is an integer number (18384).

2³⁶⁷⁶⁷ is an apocalyptic number.

36767 is a deficient number, since it is larger than the sum of its proper divisors (1).

36767 is an equidigital number, since it uses as much as digits as its factorization.

36767 is an odious number, because the sum of its binary digits is odd.

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

The square root of 36767 is about 191.7472294454. The cubic root of 36767 is about 33.2521245368.

It can be divided in two parts, 367 and 67, that added together give a palindrome (434).

The spelling of 36767 in words is "thirty-six thousand, seven hundred sixty-seven".