168961 has 8 divisors (see below), whose sum is σ = 186984. Its totient is φ = 151680.

The previous prime is 168943. The next prime is 168977. The reversal of 168961 is 169861.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 148225 = 144^2 + 385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 168961 - 2⁹ = 168449 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (23373).

It is a Proth number, since it is equal to 165 ⋅ 2¹⁰ + 1 and 165 < 2¹⁰.

2¹⁶⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

168961 is a deficient number, since it is larger than the sum of its proper divisors (18023).

168961 is a wasteful number, since it uses less digits than its factorization.

168961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its digits is 2592, while the sum is 31.

The square root of 168961 is about 411.0486589201. The cubic root of 168961 is about 55.2834949059.

Subtracting 168961 from its reverse (169861), we obtain a square (900 = 30²).

The spelling of 168961 in words is "one hundred sixty-eight thousand, nine hundred sixty-one".