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9947 = 7329
BaseRepresentation
bin10011011011011
3111122102
42123123
5304242
6114015
741000
oct23333
914572
109947
117523
12590b
1346b2
1438a7
152e32
hex26db

9947 has 8 divisors (see below), whose sum is σ = 12000. Its totient is φ = 8232.

The previous prime is 9941. The next prime is 9949. The reversal of 9947 is 7499.

It is not a de Polignac number, because 9947 - 24 = 9931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a d-powerful number, because it can be written as 93 + 44 + 94 + 74 .

It is a Duffinian number.

Its product of digits (2268) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 8.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9947.

It is not an unprimeable number, because it can be changed into a prime (9941) 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, 329 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (1500).

29947 is an apocalyptic number.

9947 is a deficient number, since it is larger than the sum of its proper divisors (2053).

9947 is an equidigital number, since it uses as much as digits as its factorization.

9947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 9947 is about 99.7346479414. The cubic root of 9947 is about 21.5062177798.

9947 divided by its sum of digits (29) gives a palindrome (343).

It can be divided in two parts, 994 and 7, that added together give a palindrome (1001).

The spelling of 9947 in words is "nine thousand, nine hundred forty-seven".

Divisors: 1 7 29 49 203 343 1421 9947