192961 has 2 divisors, whose sum is σ = 192962. Its totient is φ = 192960.

The previous prime is 192949. The next prime is 192971. The reversal of 192961 is 169291.

192961 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., 172225 + 20736 = 415^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 192961 - 2⁷ = 192833 is a prime.

192961 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (192931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96480 + 96481.

It is an arithmetic number, because the mean of its divisors is an integer number (96481).

2¹⁹²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

192961 is a deficient number, since it is larger than the sum of its proper divisors (1).

192961 is an equidigital number, since it uses as much as digits as its factorization.

192961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 28.

The square root of 192961 is about 439.2732634705. The cubic root of 192961 is about 57.7860728009.

The spelling of 192961 in words is "one hundred ninety-two thousand, nine hundred sixty-one".