168761 has 2 divisors, whose sum is σ = 168762. Its totient is φ = 168760.

The previous prime is 168743. The next prime is 168769. The reversal of 168761 is 167861.

168761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 42025 = 356^2 + 205^2 .

It is an emirp because it is prime and its reverse (167861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 168761 - 2⁶ = 168697 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (168769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 84380 + 84381.

It is an arithmetic number, because the mean of its divisors is an integer number (84381).

2¹⁶⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

168761 is a deficient number, since it is larger than the sum of its proper divisors (1).

168761 is an equidigital number, since it uses as much as digits as its factorization.

168761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 168761 is about 410.8053066843. The cubic root of 168761 is about 55.2616731749.

Subtracting from 168761 its reverse (167861), we obtain a square (900 = 30²).

It can be divided in two parts, 168 and 761, that added together give a palindrome (929).

The spelling of 168761 in words is "one hundred sixty-eight thousand, seven hundred sixty-one".