36761 has 2 divisors, whose sum is σ = 36762. Its totient is φ = 36760.

The previous prime is 36749. The next prime is 36767. The reversal of 36761 is 16763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 17161 = 140^2 + 131^2 .

It is an emirp because it is prime and its reverse (16763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36761 - 2⁶ = 36697 is a prime.

It is a super-2 number, since 2×36761² = 2702742242, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

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

It is a Curzon number.

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 36761.

It is not a weakly prime, because it can be changed into another prime (36767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18380 + 18381.

It is an arithmetic number, because the mean of its divisors is an integer number (18381).

2³⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

36761 is a deficient number, since it is larger than the sum of its proper divisors (1).

36761 is an equidigital number, since it uses as much as digits as its factorization.

36761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 36761 is about 191.7315832094. The cubic root of 36761 is about 33.2503156357.

It can be divided in two parts, 36 and 761, that added together give a palindrome (797).

The spelling of 36761 in words is "thirty-six thousand, seven hundred sixty-one".