16484 has 12 divisors (see below), whose sum is σ = 31164. Its totient is φ = 7584.

The previous prime is 16481. The next prime is 16487. The reversal of 16484 is 48461.

It is a happy number.

16484 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (16481) and next prime (16487).

It can be written as a sum of positive squares in 2 ways, for example, as 1600 + 14884 = 40^2 + 122^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107 + ... + 210.

It is an arithmetic number, because the mean of its divisors is an integer number (2597).

2¹⁶⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

16484 is a deficient number, since it is larger than the sum of its proper divisors (14680).

16484 is a wasteful number, since it uses less digits than its factorization.

16484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 16484 is about 128.3900307656. The cubic root of 16484 is about 25.4499852684.

Subtracting from 16484 its sum of digits (23), we obtain a palindrome (16461).

It can be divided in two parts, 16 and 484, that multiplied together give a square (7744 = 88²).

The spelling of 16484 in words is "sixteen thousand, four hundred eighty-four".