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95985 = 35579
BaseRepresentation
bin10111011011110001
311212200000
4113123301
511032420
62020213
7546561
oct273361
9155600
1095985
116612a
1247669
13348c6
1426da1
151d690
hex176f1

95985 has 24 divisors (see below), whose sum is σ = 174720. Its totient is φ = 50544.

The previous prime is 95971. The next prime is 95987. The reversal of 95985 is 58959.

It is not a de Polignac number, because 95985 - 27 = 95857 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 95985.

It is not an unprimeable number, because it can be changed into a prime (95987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176 + ... + 1254.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

295985 is an apocalyptic number.

It is an amenable number.

95985 is a deficient number, since it is larger than the sum of its proper divisors (78735).

95985 is an equidigital number, since it uses as much as digits as its factorization.

95985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 95985 is about 309.8144606051. The cubic root of 95985 is about 45.7861847566.

The spelling of 95985 in words is "ninety-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 79 81 135 237 243 395 405 711 1185 1215 2133 3555 6399 10665 19197 31995 95985