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3589 = 3797
BaseRepresentation
bin111000000101
311220221
4320011
5103324
624341
713315
oct7005
94827
103589
112773
1220b1
131831
141445
1510e4
hexe05

3589 has 4 divisors (see below), whose sum is σ = 3724. Its totient is φ = 3456.

The previous prime is 3583. The next prime is 3593. The reversal of 3589 is 9853.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9853 = 59167.

It can be written as a sum of positive squares in 2 ways, for example, as 2500 + 1089 = 50^2 + 33^2 .

It is a 4-Lehmer number, since φ(3589) divides (3589-1)4.

It is a cyclic number.

It is not a de Polignac number, because 3589 - 23 = 3581 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

It is an amenable number.

3589 is a deficient number, since it is larger than the sum of its proper divisors (135).

3589 is an equidigital number, since it uses as much as digits as its factorization.

3589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 1080, while the sum is 25.

The square root of 3589 is about 59.9082632030. The cubic root of 3589 is about 15.3105627148.

The spelling of 3589 in words is "three thousand, five hundred eighty-nine".

Divisors: 1 37 97 3589