16825 has 6 divisors (see below), whose sum is σ = 20894. Its totient is φ = 13440.

The previous prime is 16823. The next prime is 16829. The reversal of 16825 is 52861.

It is a happy number.

16825 is digitally balanced in base 3, 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 3 ways, for example, as 441 + 16384 = 21^2 + 128^2 .

It is not a de Polignac number, because 16825 - 2¹ = 16823 is a prime.

It is a Duffinian number.

16825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 16796 and 16805.

It is not an unprimeable number, because it can be changed into a prime (16823) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 312 + ... + 361.

2¹⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

16825 is a deficient number, since it is larger than the sum of its proper divisors (4069).

16825 is an equidigital number, since it uses as much as digits as its factorization.

16825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 678 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 16825 is about 129.7112177107. The cubic root of 16825 is about 25.6242811617.

It can be divided in two parts, 16 and 825, that added together give a square (841 = 29²).

The spelling of 16825 in words is "sixteen thousand, eight hundred twenty-five".