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85755 = 355717
BaseRepresentation
bin10100111011111011
311100122010
4110323323
510221010
61501003
7505005
oct247373
9140563
1085755
115947a
1241763
1330057
1423375
151a620
hex14efb

85755 has 8 divisors (see below), whose sum is σ = 137232. Its totient is φ = 45728.

The previous prime is 85751. The next prime is 85781. The reversal of 85755 is 55758.

It is a happy number.

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 85755 - 22 = 85751 is a prime.

85755 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85751) 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, 2844 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (17154).

285755 is an apocalyptic number.

85755 is a deficient number, since it is larger than the sum of its proper divisors (51477).

85755 is a wasteful number, since it uses less digits than its factorization.

85755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725.

The product of its digits is 7000, while the sum is 30.

The square root of 85755 is about 292.8395465097. The cubic root of 85755 is about 44.0980938188.

It can be divided in two parts, 8575 and 5, that multiplied together give a cube (42875 = 353).

The spelling of 85755 in words is "eighty-five thousand, seven hundred fifty-five".

Divisors: 1 3 5 15 5717 17151 28585 85755