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23985 = 3251341
BaseRepresentation
bin101110110110001
31012220100
411312301
51231420
6303013
7126633
oct56661
935810
1023985
1117025
1211a69
13abc0
148a53
157190
hex5db1

23985 has 24 divisors (see below), whose sum is σ = 45864. Its totient is φ = 11520.

The previous prime is 23981. The next prime is 23993. The reversal of 23985 is 58932.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 23409 = 24^2 + 153^2 .

It is not a de Polignac number, because 23985 - 22 = 23981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (1911).

223985 is an apocalyptic number.

It is an amenable number.

23985 is a deficient number, since it is larger than the sum of its proper divisors (21879).

23985 is a wasteful number, since it uses less digits than its factorization.

23985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 62 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 23985 is about 154.8709139897. The cubic root of 23985 is about 28.8389807806.

It can be divided in two parts, 239 and 85, that added together give a square (324 = 182).

The spelling of 23985 in words is "twenty-three thousand, nine hundred eighty-five".