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12495 = 357217
BaseRepresentation
bin11000011001111
3122010210
43003033
5344440
6133503
751300
oct30317
918123
1012495
11942a
127293
1358c2
1447a7
153a80
hex30cf

12495 has 24 divisors (see below), whose sum is σ = 24624. Its totient is φ = 5376.

The previous prime is 12491. The next prime is 12497. The reversal of 12495 is 59421.

12495 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12495 - 22 = 12491 is a prime.

It is a super-2 number, since 2×124952 = 312250050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 1 + 213 + 46 + 92 + 53 .

12495 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12491) 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, 727 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

212495 is an apocalyptic number.

12495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12495 is a deficient number, since it is larger than the sum of its proper divisors (12129).

12495 is a wasteful number, since it uses less digits than its factorization.

12495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 32 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 12495 is about 111.7810359587. The cubic root of 12495 is about 23.2048493628.

12495 divided by its sum of digits (21) gives a palindrome (595).

The spelling of 12495 in words is "twelve thousand, four hundred ninety-five".

Divisors: 1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 357 595 735 833 1785 2499 4165 12495