Search a number
9477 = 3613
BaseRepresentation
bin10010100000101
3111000000
42110011
5300402
6111513
736426
oct22405
914000
109477
117136
125599
134410
14364d
152c1c
hex2505

9477 has 14 divisors (see below), whose sum is σ = 15302. Its totient is φ = 5832.

The previous prime is 9473. The next prime is 9479. The reversal of 9477 is 7749.

9477 divided by its sum of digits (27) gives a triangular number (351 = T26).

Subtracting from 9477 its reverse (7749), we obtain a cube (1728 = 123).

It can be divided in two parts, 94 and 77, that added together give a palindrome (171).

It can be written as a sum of positive squares in only one way, i.e., 6561 + 2916 = 81^2 + 54^2 .

It is not a de Polignac number, because 9477 - 22 = 9473 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 3 and base 13.

It is a zygodrome in base 3 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 9477.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9477.

It is not an unprimeable number, because it can be changed into a prime (9473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 723 + ... + 735.

It is an arithmetic number, because the mean of its divisors is an integer number (1093).

29477 is an apocalyptic number.

It is an amenable number.

9477 is a deficient number, since it is larger than the sum of its proper divisors (5825).

9477 is an equidigital number, since it uses as much as digits as its factorization.

9477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 16 counting only the distinct ones).

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

The square root of 9477 is about 97.3498844375. The cubic root of 9477 is about 21.1620121895.

The spelling of 9477 in words is "nine thousand, four hundred seventy-seven".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477