214352166 has 96 divisors (see below), whose sum is σ = 533191680. Its totient is φ = 57153600.

The previous prime is 214352161. The next prime is 214352179. The reversal of 214352166 is 661253412.

214352166 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×214352166⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214352161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263901 + ... + 264711.

It is an arithmetic number, because the mean of its divisors is an integer number (5554080).

Almost surely, 2^214352166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214352166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266595840).

214352166 is an abundant number, since it is smaller than the sum of its proper divisors (318839514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214352166 is a wasteful number, since it uses less digits than its factorization.

214352166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 214352166 is about 14640.7706764364. The cubic root of 214352166 is about 598.4703312813.

It can be divided in two parts, 214 and 352166, that added together give a triangular number (352380 = T₈₃₉).

The spelling of 214352166 in words is "two hundred fourteen million, three hundred fifty-two thousand, one hundred sixty-six".