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109589 is a prime number
BaseRepresentation
bin11010110000010101
312120022212
4122300111
512001324
62203205
7634334
oct326025
9176285
10109589
1175377
1253505
133ab5c
142bd1b
152270e
hex1ac15

109589 has 2 divisors, whose sum is σ = 109590. Its totient is φ = 109588.

The previous prime is 109583. The next prime is 109597. The reversal of 109589 is 985901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 47089 = 250^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 109589 - 216 = 44053 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109589.

It is not a weakly prime, because it can be changed into another prime (109583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54794 + 54795.

It is an arithmetic number, because the mean of its divisors is an integer number (54795).

2109589 is an apocalyptic number.

It is an amenable number.

109589 is a deficient number, since it is larger than the sum of its proper divisors (1).

109589 is an equidigital number, since it uses as much as digits as its factorization.

109589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 109589 is about 331.0422933705. The cubic root of 109589 is about 47.8544491371.

The spelling of 109589 in words is "one hundred nine thousand, five hundred eighty-nine".