218025 has 48 divisors (see below), whose sum is σ = 446400. Its totient is φ = 103680.

The previous prime is 218021. The next prime is 218047. The reversal of 218025 is 520812.

It is not a de Polignac number, because 218025 - 2² = 218021 is a prime.

It is an Ulam number.

218025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 217989 and 218007.

It is not an unprimeable number, because it can be changed into a prime (218021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11466 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2²¹⁸⁰²⁵ is an apocalyptic number.

218025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

218025 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

218025 is a wasteful number, since it uses less digits than its factorization.

218025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 218025 is about 466.9314724882. The cubic root of 218025 is about 60.1869170953.

Adding to 218025 its reverse (520812), we get a palindrome (738837).

The spelling of 218025 in words is "two hundred eighteen thousand, twenty-five".