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129589 is a prime number
BaseRepresentation
bin11111101000110101
320120202121
4133220311
513121324
62435541
71046545
oct375065
9216677
10129589
11893a9
1262bb1
1346ca5
1435325
15285e4
hex1fa35

129589 has 2 divisors, whose sum is σ = 129590. Its totient is φ = 129588.

The previous prime is 129587. The next prime is 129593. The reversal of 129589 is 985921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 33489 = 310^2 + 183^2 .

It is an emirp because it is prime and its reverse (985921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 129589 - 21 = 129587 is a prime.

Together with 129587, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (129581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64794 + 64795.

It is an arithmetic number, because the mean of its divisors is an integer number (64795).

2129589 is an apocalyptic number.

It is an amenable number.

129589 is a deficient number, since it is larger than the sum of its proper divisors (1).

129589 is an equidigital number, since it uses as much as digits as its factorization.

129589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 34.

The square root of 129589 is about 359.9847218980. The cubic root of 129589 is about 50.6045281246.

The spelling of 129589 in words is "one hundred twenty-nine thousand, five hundred eighty-nine".