218966007 has 16 divisors (see below), whose sum is σ = 315563360. Its totient is φ = 134255232.

The previous prime is 218965973. The next prime is 218966009. The reversal of 218966007 is 700669812.

It is not a de Polignac number, because 218966007 - 2⁸ = 218965751 is a prime.

It is a super-2 number, since 2×218966007² = 95892224443048098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is the 14798-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218966009) by changing a digit.

It is a nontrivial repunit in base 14797.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669 + ... + 20937.

It is an arithmetic number, because the mean of its divisors is an integer number (19722710).

Almost surely, 2^218966007 is an apocalyptic number.

218966007 is a deficient number, since it is larger than the sum of its proper divisors (96597353).

218966007 is a wasteful number, since it uses less digits than its factorization.

218966007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20562.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 218966007 is about 14797.5000253421. The cubic root of 218966007 is about 602.7338275044.

The spelling of 218966007 in words is "two hundred eighteen million, nine hundred sixty-six thousand, seven".