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9712 = 24607
BaseRepresentation
bin10010111110000
3111022201
42113300
5302322
6112544
740213
oct22760
914281
109712
11732a
125754
134561
14377a
152d27
hex25f0

9712 has 10 divisors (see below), whose sum is σ = 18848. Its totient is φ = 4848.

The previous prime is 9697. The next prime is 9719. The reversal of 9712 is 2179.

9712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 9712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9719) by changing a digit.

9712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 288 + ... + 319.

29712 is an apocalyptic number.

It is an amenable number.

9712 is a deficient number, since it is larger than the sum of its proper divisors (9136).

9712 is a wasteful number, since it uses less digits than its factorization.

9712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 9712 is about 98.5494799580. The cubic root of 9712 is about 21.3355032515.

Multiplying 9712 by its sum of digits (19), we get a triangular number (184528 = T607).

The spelling of 9712 in words is "nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 607 1214 2428 4856 9712