214066161 has 9 divisors (see below), whose sum is σ = 309270091. Its totient is φ = 142681512.

The previous prime is 214066133. The next prime is 214066163. The reversal of 214066161 is 161660412.

The square root of 214066161 is 14631.

It is a perfect power (a square), and thus also a powerful number.

214066161 is a `hidden beast` number, since 2 + 1 + 40 + 6 + 616 + 1 = 666.

214066161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59213025 + 154853136 = 7695^2 + 12444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 214066161 - 2¹¹ = 214064113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214066163) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41455 + ... + 46331.

Almost surely, 2^214066161 is an apocalyptic number.

214066161 is the 14631-st square number.

214066161 is the 7316-th centered octagonal number.

It is an amenable number.

214066161 is a deficient number, since it is larger than the sum of its proper divisors (95203930).

214066161 is an frugal number, since it uses more digits than its factorization.

214066161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 214066161 is about 598.2040378973.

The spelling of 214066161 in words is "two hundred fourteen million, sixty-six thousand, one hundred sixty-one".