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132589 is a prime number
BaseRepresentation
bin100000010111101101
320201212201
4200113231
513220324
62501501
71061362
oct402755
9221781
10132589
1190686
1264891
1348472
1436469
1529444
hex205ed

132589 has 2 divisors, whose sum is σ = 132590. Its totient is φ = 132588.

The previous prime is 132547. The next prime is 132607. The reversal of 132589 is 985231.

132589 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., 116964 + 15625 = 342^2 + 125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132529) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66294 + 66295.

It is an arithmetic number, because the mean of its divisors is an integer number (66295).

2132589 is an apocalyptic number.

It is an amenable number.

132589 is a deficient number, since it is larger than the sum of its proper divisors (1).

132589 is an equidigital number, since it uses as much as digits as its factorization.

132589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 28.

The square root of 132589 is about 364.1277248439. The cubic root of 132589 is about 50.9920530998.

The spelling of 132589 in words is "one hundred thirty-two thousand, five hundred eighty-nine".