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12747 = 37607
BaseRepresentation
bin11000111001011
3122111010
43013023
5401442
6135003
752110
oct30713
918433
1012747
119639
127463
135a57
144907
153b9c
hex31cb

12747 has 8 divisors (see below), whose sum is σ = 19456. Its totient is φ = 7272.

The previous prime is 12743. The next prime is 12757. The reversal of 12747 is 74721.

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

It is not a de Polignac number, because 12747 - 22 = 12743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 607 = 12747 / (1 + 2 + 7 + 4 + 7).

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

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (2432).

212747 is an apocalyptic number.

12747 is a deficient number, since it is larger than the sum of its proper divisors (6709).

12747 is an equidigital number, since it uses as much as digits as its factorization.

12747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617.

The product of its digits is 392, while the sum is 21.

The square root of 12747 is about 112.9026129016. The cubic root of 12747 is about 23.3598112123.

The spelling of 12747 in words is "twelve thousand, seven hundred forty-seven", and thus it is an iban number.

Divisors: 1 3 7 21 607 1821 4249 12747