218085673 has 8 divisors (see below), whose sum is σ = 248677128. Its totient is φ = 189467904.

The previous prime is 218085661. The next prime is 218085677. The reversal of 218085673 is 376580812.

It can be written as a sum of positive squares in 4 ways, for example, as 24681024 + 193404649 = 4968^2 + 13907^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 218085673 - 2²⁵ = 184531241 is a prime.

It is a super-2 number, since 2×218085673² = 95122721535725858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218085677) 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, 493186 + ... + 493627.

It is an arithmetic number, because the mean of its divisors is an integer number (31084641).

Almost surely, 2^218085673 is an apocalyptic number.

It is an amenable number.

218085673 is a deficient number, since it is larger than the sum of its proper divisors (30591455).

218085673 is a wasteful number, since it uses less digits than its factorization.

218085673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986843.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 218085673 is about 14767.7240291116. The cubic root of 218085673 is about 601.9249960823.

The spelling of 218085673 in words is "two hundred eighteen million, eighty-five thousand, six hundred seventy-three".