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135985 = 527197
BaseRepresentation
bin100001001100110001
320220112111
4201030301
513322420
62525321
71104313
oct411461
9226474
10135985
1193193
1266841
1349b85
14377b3
152a45a
hex21331

135985 has 4 divisors (see below), whose sum is σ = 163188. Its totient is φ = 108784.

The previous prime is 135979. The next prime is 136013. The reversal of 135985 is 589531.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 73984 = 249^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 135985 - 23 = 135977 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

135985 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13594 + ... + 13603.

It is an arithmetic number, because the mean of its divisors is an integer number (40797).

2135985 is an apocalyptic number.

It is an amenable number.

135985 is a deficient number, since it is larger than the sum of its proper divisors (27203).

135985 is an equidigital number, since it uses as much as digits as its factorization.

135985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27202.

The product of its digits is 5400, while the sum is 31.

The square root of 135985 is about 368.7614405005. The cubic root of 135985 is about 51.4237410954.

It can be divided in two parts, 1359 and 85, that added together give a square (1444 = 382).

The spelling of 135985 in words is "one hundred thirty-five thousand, nine hundred eighty-five".

Divisors: 1 5 27197 135985