218907 has 12 divisors (see below), whose sum is σ = 340704. Its totient is φ = 134640.

The previous prime is 218887. The next prime is 218923. The reversal of 218907 is 709812.

It is not a de Polignac number, because 218907 - 2⁶ = 218843 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (218947) 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 11 ways as a sum of consecutive naturals, for example, 819 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2²¹⁸⁹⁰⁷ is an apocalyptic number.

218907 is a deficient number, since it is larger than the sum of its proper divisors (121797).

218907 is a wasteful number, since it uses less digits than its factorization.

218907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 218907 is about 467.8749833022. The cubic root of 218907 is about 60.2679681033.

The spelling of 218907 in words is "two hundred eighteen thousand, nine hundred seven".