789137 has 2 divisors, whose sum is σ = 789138. Its totient is φ = 789136.

The previous prime is 789133. The next prime is 789149. The reversal of 789137 is 731987.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 430336 + 358801 = 656^2 + 599^2 .

789137 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 789137 - 2² = 789133 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 789097 and 789106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (789133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 394568 + 394569.

It is an arithmetic number, because the mean of its divisors is an integer number (394569).

2⁷⁸⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

789137 is a deficient number, since it is larger than the sum of its proper divisors (1).

789137 is an equidigital number, since it uses as much as digits as its factorization.

789137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 35.

The square root of 789137 is about 888.3338336459. Note that the first 3 decimals coincide. The cubic root of 789137 is about 92.4096805260.

The spelling of 789137 in words is "seven hundred eighty-nine thousand, one hundred thirty-seven".