220825 has 18 divisors (see below), whose sum is σ = 305102. Its totient is φ = 158400.

The previous prime is 220811. The next prime is 220841. The reversal of 220825 is 528022.

220825 = 1⁵ + 2⁵ + ... + 10⁵.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 203401 = 132^2 + 451^2 .

It is not a de Polignac number, because 220825 - 2⁵ = 220793 is a prime.

It is a Duffinian number.

220825 is a lucky number.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2989 + ... + 3061.

2²²⁰⁸²⁵ is an apocalyptic number.

220825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220825 is a deficient number, since it is larger than the sum of its proper divisors (84277).

220825 is a wasteful number, since it uses less digits than its factorization.

220825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 220825 is about 469.9202059925. The cubic root of 220825 is about 60.4434733730.

Adding to 220825 its reverse (528022), we get a palindrome (748847).

The spelling of 220825 in words is "two hundred twenty thousand, eight hundred twenty-five".