80761 has 2 divisors, whose sum is σ = 80762. Its totient is φ = 80760.

The previous prime is 80749. The next prime is 80777. The reversal of 80761 is 16708.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 20736 = 245^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 80761 - 2¹¹ = 78713 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (80701) 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, 40380 + 40381.

It is an arithmetic number, because the mean of its divisors is an integer number (40381).

2⁸⁰⁷⁶¹ is an apocalyptic number.

It is an amenable number.

80761 is a deficient number, since it is larger than the sum of its proper divisors (1).

80761 is an equidigital number, since it uses as much as digits as its factorization.

80761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 80761 is about 284.1847990305. The cubic root of 80761 is about 43.2248899206.

It can be divided in two parts, 807 and 61, that added together give a palindrome (868).

The spelling of 80761 in words is "eighty thousand, seven hundred sixty-one".