213817201 has 8 divisors (see below), whose sum is σ = 231733544. Its totient is φ = 196110720.

The previous prime is 213817189. The next prime is 213817207. The reversal of 213817201 is 102718312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2405601 + 211411600 = 1551^2 + 14540^2 .

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

It is not a de Polignac number, because 213817201 - 2¹⁹ = 213292913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213817207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50340 + ... + 54421.

It is an arithmetic number, because the mean of its divisors is an integer number (28966693).

Almost surely, 2^213817201 is an apocalyptic number.

It is an amenable number.

213817201 is a deficient number, since it is larger than the sum of its proper divisors (17916343).

213817201 is a wasteful number, since it uses less digits than its factorization.

213817201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104931.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 213817201 is about 14622.4895623146. The cubic root of 213817201 is about 597.9720431892.

It can be divided in two parts, 21381 and 7201, that added together give a palindrome (28582).

The spelling of 213817201 in words is "two hundred thirteen million, eight hundred seventeen thousand, two hundred one".