Search a number
-
+
12505 = 54161
BaseRepresentation
bin11000011011001
3122011011
43003121
5400010
6133521
751313
oct30331
918134
1012505
119439
1272a1
1358cc
1447b3
153a8a
hex30d9

12505 has 8 divisors (see below), whose sum is σ = 15624. Its totient is φ = 9600.

The previous prime is 12503. The next prime is 12511. The reversal of 12505 is 50521.

12505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 841 + 11664 = 29^2 + 108^2 .

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

It is not a de Polignac number, because 12505 - 21 = 12503 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 175 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

12505 is a Friedman number, since it can be written as 5*(50^2+1), using all its digits and the basic arithmetic operations.

212505 is an apocalyptic number.

It is an amenable number.

12505 is a deficient number, since it is larger than the sum of its proper divisors (3119).

12505 is an equidigital number, since it uses as much as digits as its factorization.

12505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 12505 is about 111.8257573191. The cubic root of 12505 is about 23.2110381481.

The spelling of 12505 in words is "twelve thousand, five hundred five".

Divisors: 1 5 41 61 205 305 2501 12505