213201 has 6 divisors (see below), whose sum is σ = 307970. Its totient is φ = 142128.

The previous prime is 213193. The next prime is 213203. The reversal of 213201 is 102312.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 90000 = 351^2 + 300^2 .

It is not a de Polignac number, because 213201 - 2³ = 213193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23689 = 213201 / (2 + 1 + 3 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11836 + ... + 11853.

2²¹³²⁰¹ is an apocalyptic number.

It is an amenable number.

213201 is a deficient number, since it is larger than the sum of its proper divisors (94769).

213201 is a wasteful number, since it uses less digits than its factorization.

213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23695 (or 23692 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213201 is about 461.7369380935. The cubic root of 213201 is about 59.7397057480.

Adding to 213201 its reverse (102312), we get a palindrome (315513).

Subtracting from 213201 its reverse (102312), we obtain a square (110889 = 333²).

It can be divided in two parts, 21320 and 1, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 213201 in words is "two hundred thirteen thousand, two hundred one".