218031 has 8 divisors (see below), whose sum is σ = 317184. Its totient is φ = 132120.

The previous prime is 218021. The next prime is 218047. The reversal of 218031 is 130812.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 218031 - 2⁹ = 217519 is a prime.

It is a super-2 number, since 2×218031² = 95075033922, which contains 22 as substring.

218031 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 218031.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3271 + ... + 3336.

It is an arithmetic number, because the mean of its divisors is an integer number (39648).

2²¹⁸⁰³¹ is an apocalyptic number.

218031 is a deficient number, since it is larger than the sum of its proper divisors (99153).

218031 is a wasteful number, since it uses less digits than its factorization.

218031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 218031 is about 466.9378973697. The cubic root of 218031 is about 60.1874692005.

Adding to 218031 its reverse (130812), we get a palindrome (348843).

It can be divided in two parts, 2180 and 31, that added together give a triangular number (2211 = T₆₆).

The spelling of 218031 in words is "two hundred eighteen thousand, thirty-one".