216825 has 36 divisors (see below), whose sum is σ = 424080. Its totient is φ = 97440.

The previous prime is 216803. The next prime is 216829. The reversal of 216825 is 528612.

216825 = 41² + 42² + ... + 89².

It is not a de Polignac number, because 216825 - 2⁶ = 216761 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 216795 and 216804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216825.

It is not an unprimeable number, because it can be changed into a prime (216829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3646 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (11780).

2²¹⁶⁸²⁵ is an apocalyptic number.

216825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216825 is a deficient number, since it is larger than the sum of its proper divisors (207255).

216825 is a wasteful number, since it uses less digits than its factorization.

216825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 216825 is about 465.6447143478. The cubic root of 216825 is about 60.0762918404.

The spelling of 216825 in words is "two hundred sixteen thousand, eight hundred twenty-five".