108961 has 2 divisors, whose sum is σ = 108962. Its totient is φ = 108960.

The previous prime is 108959. The next prime is 108967. The reversal of 108961 is 169801.

108961 is nontrivially palindromic in base 16.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 6561 = 320^2 + 81^2 .

It is a cyclic number.

It is not a de Polignac number, because 108961 - 2¹ = 108959 is a prime.

Together with 108959, it forms a pair of twin primes.

108961 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54480 + 54481.

It is an arithmetic number, because the mean of its divisors is an integer number (54481).

2¹⁰⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

108961 is a deficient number, since it is larger than the sum of its proper divisors (1).

108961 is an equidigital number, since it uses as much as digits as its factorization.

108961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 108961 is about 330.0924113033. The cubic root of 108961 is about 47.7628639628.

The spelling of 108961 in words is "one hundred eight thousand, nine hundred sixty-one".