789961 has 2 divisors, whose sum is σ = 789962. Its totient is φ = 789960.

The previous prime is 789959. The next prime is 789967. The reversal of 789961 is 169987.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 765625 + 24336 = 875^2 + 156^2 .

It is an emirp because it is prime and its reverse (169987) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 789961 - 2¹ = 789959 is a prime.

Together with 789959, it forms a pair of twin primes.

789961 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (789967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 394980 + 394981.

It is an arithmetic number, because the mean of its divisors is an integer number (394981).

2⁷⁸⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

789961 is a deficient number, since it is larger than the sum of its proper divisors (1).

789961 is an equidigital number, since it uses as much as digits as its factorization.

789961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 40.

The square root of 789961 is about 888.7975022467. The cubic root of 789961 is about 92.4418334090.

The spelling of 789961 in words is "seven hundred eighty-nine thousand, nine hundred sixty-one".