Search a number
10484 = 222621

10484 has 6 divisors (see below), whose sum is σ = 18354. Its totient is φ = 5240.

The previous prime is 10477. The next prime is 10487. The reversal of 10484 is 48401.

Adding to 10484 its sum of digits (17), we get a palindrome (10501).

Adding to 10484 its reverse (48401), we get a palindrome (58885).

It can be divided in two parts, 10 and 484, that added together give a palindrome (494).

It is a happy number.

10484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 484 = 100^2 + 22^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487) by changing a digit.

10484 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, 1307 + ... + 1314.

It is an arithmetic number, because the mean of its divisors is an integer number (3059).

210484 is an apocalyptic number.

It is an amenable number.

10484 is a deficient number, since it is larger than the sum of its proper divisors (7870).

10484 is a wasteful number, since it uses less digits than its factorization.

10484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10484 is about 102.3914058894. The cubic root of 10484 is about 21.8864674568.

The spelling of 10484 in words is "ten thousand, four hundred eighty-four".

Divisors: 1 2 4 2621 5242 10484