Search a number
9747 = 33192
BaseRepresentation
bin10011000010011
3111101000
42120103
5302442
6113043
740263
oct23023
914330
109747
117361
125783
13458a
1437a3
152d4c
hex2613

9747 has 12 divisors (see below), whose sum is σ = 15240. Its totient is φ = 6156.

The previous prime is 9743. The next prime is 9749. The reversal of 9747 is 7479.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 9747 - 22 = 9743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 9747.

It is not an unprimeable number, because it can be changed into a prime (9743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (1270).

29747 is an apocalyptic number.

9747 is a deficient number, since it is larger than the sum of its proper divisors (5493).

9747 is a wasteful number, since it uses less digits than its factorization.

9747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 22 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 9747 is about 98.7268960314. The cubic root of 9747 is about 21.3611020767.

Multiplying 9747 by its sum of digits (27), we get a square (263169 = 5132).

9747 divided by its sum of digits (27) gives a square (361 = 192).

Adding to 9747 its product of digits (1764), we get a palindrome (11511).

It can be divided in two parts, 97 and 47, that added together give a square (144 = 122).

The spelling of 9747 in words is "nine thousand, seven hundred forty-seven".

Divisors: 1 3 9 19 27 57 171 361 513 1083 3249 9747