214593201 has 27 divisors (see below), whose sum is σ = 328418571. Its totient is φ = 135005184.

The previous prime is 214593199. The next prime is 214593257. The reversal of 214593201 is 102395412.

The square root of 214593201 is 14649.

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

214593201 is a `hidden beast` number, since 2 + 1 + 459 + 3 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211266225 + 3326976 = 14535^2 + 1824^2 .

It is not a de Polignac number, because 214593201 - 2¹ = 214593199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (214595201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 834865 + ... + 835121.

Almost surely, 2^214593201 is an apocalyptic number.

214593201 is the 14649-th square number.

214593201 is the 7325-th centered octagonal number.

It is an amenable number.

214593201 is a deficient number, since it is larger than the sum of its proper divisors (113825370).

214593201 is an equidigital number, since it uses as much as digits as its factorization.

214593201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 214593201 is about 598.6945701480.

The spelling of 214593201 in words is "two hundred fourteen million, five hundred ninety-three thousand, two hundred one".