218972 has 12 divisors (see below), whose sum is σ = 412776. Its totient is φ = 101040.

The previous prime is 218971. The next prime is 218987. The reversal of 218972 is 279812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218971) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2054 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2²¹⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

218972 is a deficient number, since it is larger than the sum of its proper divisors (193804).

218972 is a wasteful number, since it uses less digits than its factorization.

218972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4226 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 218972 is about 467.9444411466. The cubic root of 218972 is about 60.2739326305.

The spelling of 218972 in words is "two hundred eighteen thousand, nine hundred seventy-two".