108761 has 2 divisors, whose sum is σ = 108762. Its totient is φ = 108760.

The previous prime is 108751. The next prime is 108769. The reversal of 108761 is 167801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105625 + 3136 = 325^2 + 56^2 .

It is an emirp because it is prime and its reverse (167801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108761 - 2¹⁴ = 92377 is a prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (108769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54380 + 54381.

It is an arithmetic number, because the mean of its divisors is an integer number (54381).

2¹⁰⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

108761 is a deficient number, since it is larger than the sum of its proper divisors (1).

108761 is an equidigital number, since it uses as much as digits as its factorization.

108761 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 23.

The square root of 108761 is about 329.7893266921. The cubic root of 108761 is about 47.7336228478.

The spelling of 108761 in words is "one hundred eight thousand, seven hundred sixty-one".