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20484 = 2232569

20484 has 18 divisors (see below), whose sum is σ = 51870. Its totient is φ = 6816.

The previous prime is 20483. The next prime is 20507. The reversal of 20484 is 48402.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14400 + 6084 = 120^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (20483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249 + ... + 320.

220484 is an apocalyptic number.

It is an amenable number.

20484 is an abundant number, since it is smaller than the sum of its proper divisors (31386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20484 is a wasteful number, since it uses less digits than its factorization.

20484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20484 is about 143.1223253025. The cubic root of 20484 is about 27.3613962558.

Adding to 20484 its sum of digits (18), we get a palindrome (20502).

Adding to 20484 its reverse (48402), we get a palindrome (68886).

It can be divided in two parts, 2048 and 4, that multiplied together give a 13-th power (8192 = 213).

The spelling of 20484 in words is "twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2276 3414 5121 6828 10242 20484