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65585 = 5131009
BaseRepresentation
bin10000000000110001
310022222002
4100000301
54044320
61223345
7362132
oct200061
9108862
1065585
1145303
1231b55
1323b10
1419c89
1514675
hex10031

65585 has 8 divisors (see below), whose sum is σ = 84840. Its totient is φ = 48384.

The previous prime is 65581. The next prime is 65587. The reversal of 65585 is 58556.

It can be written as a sum of positive squares in 4 ways, for example, as 49 + 65536 = 7^2 + 256^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65585 - 22 = 65581 is a prime.

65585 is a modest number, since divided by 585 gives 65 as remainder.

It is a Curzon number.

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (65581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (10605).

265585 is an apocalyptic number.

65585 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65585 is a deficient number, since it is larger than the sum of its proper divisors (19255).

65585 is a wasteful number, since it uses less digits than its factorization.

65585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027.

The product of its digits is 6000, while the sum is 29.

The square root of 65585 is about 256.0956852428. The cubic root of 65585 is about 40.3275192919.

Subtracting from 65585 its sum of digits (29), we obtain a palindrome (65556).

It can be divided in two parts, 65 and 585, that multiplied together give a square (38025 = 1952).

The spelling of 65585 in words is "sixty-five thousand, five hundred eighty-five".

Divisors: 1 5 13 65 1009 5045 13117 65585